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Finding the Fourth Proportional to 103,691.60, 155,364.60 and 97,470.80

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Solution

The fourth proportional to 103,691.60, 155,364.60 and 97,470.80 is: 146,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691.60 : 155,364.60 = 97,470.80 : x
  2. Step 2: Convert to fraction form
    103,691.60/155,364.60 = 97,470.80/x
  3. Step 3: Cross multiply
    103,691.60x = 155,364.60 × 97,470.80
  4. Step 4: Simplify right side
    103,691.60x = 15,143,511,853.68
  5. Step 5: Solve for x
    x = 15,143,511,853.68/103,691.60
  6. Step 6: Final answer
    x = 146,043.77

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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.