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Finding the Fourth Proportional to 261,892.96, 392,859.96 and 84,405.24

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Solution

The fourth proportional to 261,892.96, 392,859.96 and 84,405.24 is: 126,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892.96 : 392,859.96 = 84,405.24 : x
  2. Step 2: Convert to fraction form
    261,892.96/392,859.96 = 84,405.24/x
  3. Step 3: Cross multiply
    261,892.96x = 392,859.96 × 84,405.24
  4. Step 4: Simplify right side
    261,892.96x = 33,159,439,210.19
  5. Step 5: Solve for x
    x = 33,159,439,210.19/261,892.96
  6. Step 6: Final answer
    x = 126,614.47

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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.