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Finding the Fourth Proportional to 113,691.47, 170,910.95 and 105,470.78

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Solution

The fourth proportional to 113,691.47, 170,910.95 and 105,470.78 is: 158,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,691.47 : 170,910.95 = 105,470.78 : x
  2. Step 2: Convert to fraction form
    113,691.47/170,910.95 = 105,470.78/x
  3. Step 3: Cross multiply
    113,691.47x = 170,910.95 × 105,470.78
  4. Step 4: Simplify right side
    113,691.47x = 18,026,109,825.13
  5. Step 5: Solve for x
    x = 18,026,109,825.13/113,691.47
  6. Step 6: Final answer
    x = 158,552.89

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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.