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Finding the Fourth Proportional to 96,419.76, 144,731.88 and 85,398

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Solution

The fourth proportional to 96,419.76, 144,731.88 and 85,398 is: 128,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,419.76 : 144,731.88 = 85,398 : x
  2. Step 2: Convert to fraction form
    96,419.76/144,731.88 = 85,398/x
  3. Step 3: Cross multiply
    96,419.76x = 144,731.88 × 85,398
  4. Step 4: Simplify right side
    96,419.76x = 12,359,813,088.24
  5. Step 5: Solve for x
    x = 12,359,813,088.24/96,419.76
  6. Step 6: Final answer
    x = 128,187.55

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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.