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Finding the Fourth Proportional to 109,978.20, 151,769.89 and 59,677.20

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Solution

The fourth proportional to 109,978.20, 151,769.89 and 59,677.20 is: 82,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,978.20 : 151,769.89 = 59,677.20 : x
  2. Step 2: Convert to fraction form
    109,978.20/151,769.89 = 59,677.20/x
  3. Step 3: Cross multiply
    109,978.20x = 151,769.89 × 59,677.20
  4. Step 4: Simplify right side
    109,978.20x = 9,057,202,079.51
  5. Step 5: Solve for x
    x = 9,057,202,079.51/109,978.20
  6. Step 6: Final answer
    x = 82,354.52

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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.