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Finding the Fourth Proportional to 90,462.60, 135,780.30 and 77,329.80

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Solution

The fourth proportional to 90,462.60, 135,780.30 and 77,329.80 is: 116,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462.60 : 135,780.30 = 77,329.80 : x
  2. Step 2: Convert to fraction form
    90,462.60/135,780.30 = 77,329.80/x
  3. Step 3: Cross multiply
    90,462.60x = 135,780.30 × 77,329.80
  4. Step 4: Simplify right side
    90,462.60x = 10,499,863,442.94
  5. Step 5: Solve for x
    x = 10,499,863,442.94/90,462.60
  6. Step 6: Final answer
    x = 116,068.56

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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.