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Finding the Fourth Proportional to 78,390.71, 108,179.39 and 42,580.43

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Solution

The fourth proportional to 78,390.71, 108,179.39 and 42,580.43 is: 58,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390.71 : 108,179.39 = 42,580.43 : x
  2. Step 2: Convert to fraction form
    78,390.71/108,179.39 = 42,580.43/x
  3. Step 3: Cross multiply
    78,390.71x = 108,179.39 × 42,580.43
  4. Step 4: Simplify right side
    78,390.71x = 4,606,324,730.44
  5. Step 5: Solve for x
    x = 4,606,324,730.44/78,390.71
  6. Step 6: Final answer
    x = 58,761.10

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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.