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Finding the Fourth Proportional to 209,906.92, 314,907.15 and 76,784.23

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Solution

The fourth proportional to 209,906.92, 314,907.15 and 76,784.23 is: 115,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,906.92 : 314,907.15 = 76,784.23 : x
  2. Step 2: Convert to fraction form
    209,906.92/314,907.15 = 76,784.23/x
  3. Step 3: Cross multiply
    209,906.92x = 314,907.15 × 76,784.23
  4. Step 4: Simplify right side
    209,906.92x = 24,179,901,459.71
  5. Step 5: Solve for x
    x = 24,179,901,459.71/209,906.92
  6. Step 6: Final answer
    x = 115,193.45

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1.5x scale

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.