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Finding the Fourth Proportional to 91,425.12, 137,034 and 38,801.76

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Solution

The fourth proportional to 91,425.12, 137,034 and 38,801.76 is: 58,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,425.12 : 137,034 = 38,801.76 : x
  2. Step 2: Convert to fraction form
    91,425.12/137,034 = 38,801.76/x
  3. Step 3: Cross multiply
    91,425.12x = 137,034 × 38,801.76
  4. Step 4: Simplify right side
    91,425.12x = 5,317,160,379.84
  5. Step 5: Solve for x
    x = 5,317,160,379.84/91,425.12
  6. Step 6: Final answer
    x = 58,158.64

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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.