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Finding the Fourth Proportional to 209,952,575.70, 314,928,863.55 and 133,362,086.10

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Solution

The fourth proportional to 209,952,575.70, 314,928,863.55 and 133,362,086.10 is: 200,043,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,575.70 : 314,928,863.55 = 133,362,086.10 : x
  2. Step 2: Convert to fraction form
    209,952,575.70/314,928,863.55 = 133,362,086.10/x
  3. Step 3: Cross multiply
    209,952,575.70x = 314,928,863.55 × 133,362,086.10
  4. Step 4: Simplify right side
    209,952,575.70x = 41,999,570,216,130,248
  5. Step 5: Solve for x
    x = 41,999,570,216,130,248/209,952,575.70
  6. Step 6: Final answer
    x = 200,043,129.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.