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Finding the Fourth Proportional to 83,781.78, 125,681.82 and 36,364.28

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Solution

The fourth proportional to 83,781.78, 125,681.82 and 36,364.28 is: 54,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,781.78 : 125,681.82 = 36,364.28 : x
  2. Step 2: Convert to fraction form
    83,781.78/125,681.82 = 36,364.28/x
  3. Step 3: Cross multiply
    83,781.78x = 125,681.82 × 36,364.28
  4. Step 4: Simplify right side
    83,781.78x = 4,570,328,893.39
  5. Step 5: Solve for x
    x = 4,570,328,893.39/83,781.78
  6. Step 6: Final answer
    x = 54,550.39

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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.