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Finding the Fourth Proportional to 78,201.20, 107,917.80 and 42,391.10

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Solution

The fourth proportional to 78,201.20, 107,917.80 and 42,391.10 is: 58,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.20 : 107,917.80 = 42,391.10 : x
  2. Step 2: Convert to fraction form
    78,201.20/107,917.80 = 42,391.10/x
  3. Step 3: Cross multiply
    78,201.20x = 107,917.80 × 42,391.10
  4. Step 4: Simplify right side
    78,201.20x = 4,574,754,251.58
  5. Step 5: Solve for x
    x = 4,574,754,251.58/78,201.20
  6. Step 6: Final answer
    x = 58,499.80

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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.