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Finding the Fourth Proportional to 102,489.30, 153,733.95 and 98,552.70

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Solution

The fourth proportional to 102,489.30, 153,733.95 and 98,552.70 is: 147,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,489.30 : 153,733.95 = 98,552.70 : x
  2. Step 2: Convert to fraction form
    102,489.30/153,733.95 = 98,552.70/x
  3. Step 3: Cross multiply
    102,489.30x = 153,733.95 × 98,552.70
  4. Step 4: Simplify right side
    102,489.30x = 15,150,895,854.17
  5. Step 5: Solve for x
    x = 15,150,895,854.17/102,489.30
  6. Step 6: Final answer
    x = 147,829.05

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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.