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Finding the Fourth Proportional to 78,317.89, 108,078.42 and 42,507.90

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Solution

The fourth proportional to 78,317.89, 108,078.42 and 42,507.90 is: 58,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,317.89 : 108,078.42 = 42,507.90 : x
  2. Step 2: Convert to fraction form
    78,317.89/108,078.42 = 42,507.90/x
  3. Step 3: Cross multiply
    78,317.89x = 108,078.42 × 42,507.90
  4. Step 4: Simplify right side
    78,317.89x = 4,594,186,510.11
  5. Step 5: Solve for x
    x = 4,594,186,510.11/78,317.89
  6. Step 6: Final answer
    x = 58,660.75

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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.