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Finding the Fourth Proportional to 120,642, 181,167.12 and 78,593.28

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Solution

The fourth proportional to 120,642, 181,167.12 and 78,593.28 is: 118,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,642 : 181,167.12 = 78,593.28 : x
  2. Step 2: Convert to fraction form
    120,642/181,167.12 = 78,593.28/x
  3. Step 3: Cross multiply
    120,642x = 181,167.12 × 78,593.28
  4. Step 4: Simplify right side
    120,642x = 14,238,518,188.95
  5. Step 5: Solve for x
    x = 14,238,518,188.95/120,642
  6. Step 6: Final answer
    x = 118,022.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.