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Finding the Fourth Proportional to 78,057.70, 107,719.80 and 42,248.02

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Solution

The fourth proportional to 78,057.70, 107,719.80 and 42,248.02 is: 58,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.70 : 107,719.80 = 42,248.02 : x
  2. Step 2: Convert to fraction form
    78,057.70/107,719.80 = 42,248.02/x
  3. Step 3: Cross multiply
    78,057.70x = 107,719.80 × 42,248.02
  4. Step 4: Simplify right side
    78,057.70x = 4,550,948,264.80
  5. Step 5: Solve for x
    x = 4,550,948,264.80/78,057.70
  6. Step 6: Final answer
    x = 58,302.36

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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.