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Finding the Fourth Proportional to 209,952,009.80, 314,928,014.70 and 64,408,034.60

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Solution

The fourth proportional to 209,952,009.80, 314,928,014.70 and 64,408,034.60 is: 96,612,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,009.80 : 314,928,014.70 = 64,408,034.60 : x
  2. Step 2: Convert to fraction form
    209,952,009.80/314,928,014.70 = 64,408,034.60/x
  3. Step 3: Cross multiply
    209,952,009.80x = 314,928,014.70 × 64,408,034.60
  4. Step 4: Simplify right side
    209,952,009.80x = 20,283,894,467,306,908
  5. Step 5: Solve for x
    x = 20,283,894,467,306,908/209,952,009.80
  6. Step 6: Final answer
    x = 96,612,051.90

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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.