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Finding the Fourth Proportional to 81,791.61, 122,637.19 and 31,813.47

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Solution

The fourth proportional to 81,791.61, 122,637.19 and 31,813.47 is: 47,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,791.61 : 122,637.19 = 31,813.47 : x
  2. Step 2: Convert to fraction form
    81,791.61/122,637.19 = 31,813.47/x
  3. Step 3: Cross multiply
    81,791.61x = 122,637.19 × 31,813.47
  4. Step 4: Simplify right side
    81,791.61x = 3,901,513,951.76
  5. Step 5: Solve for x
    x = 3,901,513,951.76/81,791.61
  6. Step 6: Final answer
    x = 47,700.66

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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.