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Finding the Fourth Proportional to 78,617.26, 108,494.54 and 42,807.88

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Solution

The fourth proportional to 78,617.26, 108,494.54 and 42,807.88 is: 59,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,617.26 : 108,494.54 = 42,807.88 : x
  2. Step 2: Convert to fraction form
    78,617.26/108,494.54 = 42,807.88/x
  3. Step 3: Cross multiply
    78,617.26x = 108,494.54 × 42,807.88
  4. Step 4: Simplify right side
    78,617.26x = 4,644,421,248.98
  5. Step 5: Solve for x
    x = 4,644,421,248.98/78,617.26
  6. Step 6: Final answer
    x = 59,076.36

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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.