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Finding the Fourth Proportional to 78,402.94, 108,195.46 and 42,593.20

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Solution

The fourth proportional to 78,402.94, 108,195.46 and 42,593.20 is: 58,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,402.94 : 108,195.46 = 42,593.20 : x
  2. Step 2: Convert to fraction form
    78,402.94/108,195.46 = 42,593.20/x
  3. Step 3: Cross multiply
    78,402.94x = 108,195.46 × 42,593.20
  4. Step 4: Simplify right side
    78,402.94x = 4,608,390,866.87
  5. Step 5: Solve for x
    x = 4,608,390,866.87/78,402.94
  6. Step 6: Final answer
    x = 58,778.29

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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.