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Finding the Fourth Proportional to 78,318.31, 108,078.05 and 42,508.01

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Solution

The fourth proportional to 78,318.31, 108,078.05 and 42,508.01 is: 58,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318.31 : 108,078.05 = 42,508.01 : x
  2. Step 2: Convert to fraction form
    78,318.31/108,078.05 = 42,508.01/x
  3. Step 3: Cross multiply
    78,318.31x = 108,078.05 × 42,508.01
  4. Step 4: Simplify right side
    78,318.31x = 4,594,182,617.64
  5. Step 5: Solve for x
    x = 4,594,182,617.64/78,318.31
  6. Step 6: Final answer
    x = 58,660.39

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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.