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Finding the Fourth Proportional to 91,605.98, 137,386.86 and 38,269.14

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Solution

The fourth proportional to 91,605.98, 137,386.86 and 38,269.14 is: 57,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,605.98 : 137,386.86 = 38,269.14 : x
  2. Step 2: Convert to fraction form
    91,605.98/137,386.86 = 38,269.14/x
  3. Step 3: Cross multiply
    91,605.98x = 137,386.86 × 38,269.14
  4. Step 4: Simplify right side
    91,605.98x = 5,257,676,979.50
  5. Step 5: Solve for x
    x = 5,257,676,979.50/91,605.98
  6. Step 6: Final answer
    x = 57,394.48

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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.