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Finding the Fourth Proportional to 78,593.90, 108,455.15 and 42,781.77

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Solution

The fourth proportional to 78,593.90, 108,455.15 and 42,781.77 is: 59,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,593.90 : 108,455.15 = 42,781.77 : x
  2. Step 2: Convert to fraction form
    78,593.90/108,455.15 = 42,781.77/x
  3. Step 3: Cross multiply
    78,593.90x = 108,455.15 × 42,781.77
  4. Step 4: Simplify right side
    78,593.90x = 4,639,903,389.57
  5. Step 5: Solve for x
    x = 4,639,903,389.57/78,593.90
  6. Step 6: Final answer
    x = 59,036.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.