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Finding the Fourth Proportional to 91,159.94, 136,755.96 and 31,174.31

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Solution

The fourth proportional to 91,159.94, 136,755.96 and 31,174.31 is: 46,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,159.94 : 136,755.96 = 31,174.31 : x
  2. Step 2: Convert to fraction form
    91,159.94/136,755.96 = 31,174.31/x
  3. Step 3: Cross multiply
    91,159.94x = 136,755.96 × 31,174.31
  4. Step 4: Simplify right side
    91,159.94x = 4,263,272,691.39
  5. Step 5: Solve for x
    x = 4,263,272,691.39/91,159.94
  6. Step 6: Final answer
    x = 46,766.95

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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.