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Finding the Fourth Proportional to 77,434.68, 106,892.48 and 52,318.20

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Solution

The fourth proportional to 77,434.68, 106,892.48 and 52,318.20 is: 72,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434.68 : 106,892.48 = 52,318.20 : x
  2. Step 2: Convert to fraction form
    77,434.68/106,892.48 = 52,318.20/x
  3. Step 3: Cross multiply
    77,434.68x = 106,892.48 × 52,318.20
  4. Step 4: Simplify right side
    77,434.68x = 5,592,422,147.14
  5. Step 5: Solve for x
    x = 5,592,422,147.14/77,434.68
  6. Step 6: Final answer
    x = 72,221.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.