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Finding the Fourth Proportional to 78,195.87, 107,910.48 and 42,385.71

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Solution

The fourth proportional to 78,195.87, 107,910.48 and 42,385.71 is: 58,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.87 : 107,910.48 = 42,385.71 : x
  2. Step 2: Convert to fraction form
    78,195.87/107,910.48 = 42,385.71/x
  3. Step 3: Cross multiply
    78,195.87x = 107,910.48 × 42,385.71
  4. Step 4: Simplify right side
    78,195.87x = 4,573,862,311.24
  5. Step 5: Solve for x
    x = 4,573,862,311.24/78,195.87
  6. Step 6: Final answer
    x = 58,492.38

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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.