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Finding the Fourth Proportional to 78,159.88, 107,860.26 and 42,349.87

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Solution

The fourth proportional to 78,159.88, 107,860.26 and 42,349.87 is: 58,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159.88 : 107,860.26 = 42,349.87 : x
  2. Step 2: Convert to fraction form
    78,159.88/107,860.26 = 42,349.87/x
  3. Step 3: Cross multiply
    78,159.88x = 107,860.26 × 42,349.87
  4. Step 4: Simplify right side
    78,159.88x = 4,567,867,989.17
  5. Step 5: Solve for x
    x = 4,567,867,989.17/78,159.88
  6. Step 6: Final answer
    x = 58,442.62

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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.