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Finding the Fourth Proportional to 91,605.60, 137,414.80 and 36,194.40

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Solution

The fourth proportional to 91,605.60, 137,414.80 and 36,194.40 is: 54,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,605.60 : 137,414.80 = 36,194.40 : x
  2. Step 2: Convert to fraction form
    91,605.60/137,414.80 = 36,194.40/x
  3. Step 3: Cross multiply
    91,605.60x = 137,414.80 × 36,194.40
  4. Step 4: Simplify right side
    91,605.60x = 4,973,646,237.12
  5. Step 5: Solve for x
    x = 4,973,646,237.12/91,605.60
  6. Step 6: Final answer
    x = 54,294.13

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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.