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Finding the Fourth Proportional to 109,978.75, 151,771.08 and 59,677.75

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Solution

The fourth proportional to 109,978.75, 151,771.08 and 59,677.75 is: 82,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,978.75 : 151,771.08 = 59,677.75 : x
  2. Step 2: Convert to fraction form
    109,978.75/151,771.08 = 59,677.75/x
  3. Step 3: Cross multiply
    109,978.75x = 151,771.08 × 59,677.75
  4. Step 4: Simplify right side
    109,978.75x = 9,057,356,569.47
  5. Step 5: Solve for x
    x = 9,057,356,569.47/109,978.75
  6. Step 6: Final answer
    x = 82,355.51

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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.