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Finding the Fourth Proportional to 261,387.86, 392,132.84 and 83,881.22

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Solution

The fourth proportional to 261,387.86, 392,132.84 and 83,881.22 is: 125,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,387.86 : 392,132.84 = 83,881.22 : x
  2. Step 2: Convert to fraction form
    261,387.86/392,132.84 = 83,881.22/x
  3. Step 3: Cross multiply
    261,387.86x = 392,132.84 × 83,881.22
  4. Step 4: Simplify right side
    261,387.86x = 32,892,578,641.19
  5. Step 5: Solve for x
    x = 32,892,578,641.19/261,387.86
  6. Step 6: Final answer
    x = 125,838.21

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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.