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Finding the Fourth Proportional to 261,565.68, 392,256.28 and 84,012.72

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Solution

The fourth proportional to 261,565.68, 392,256.28 and 84,012.72 is: 125,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,565.68 : 392,256.28 = 84,012.72 : x
  2. Step 2: Convert to fraction form
    261,565.68/392,256.28 = 84,012.72/x
  3. Step 3: Cross multiply
    261,565.68x = 392,256.28 × 84,012.72
  4. Step 4: Simplify right side
    261,565.68x = 32,954,517,019.88
  5. Step 5: Solve for x
    x = 32,954,517,019.88/261,565.68
  6. Step 6: Final answer
    x = 125,989.45

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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.