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Finding the Fourth Proportional to 148,757.81, 205,284.65 and 80,773.47

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Solution

The fourth proportional to 148,757.81, 205,284.65 and 80,773.47 is: 111,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,757.81 : 205,284.65 = 80,773.47 : x
  2. Step 2: Convert to fraction form
    148,757.81/205,284.65 = 80,773.47/x
  3. Step 3: Cross multiply
    148,757.81x = 205,284.65 × 80,773.47
  4. Step 4: Simplify right side
    148,757.81x = 16,581,553,114.37
  5. Step 5: Solve for x
    x = 16,581,553,114.37/148,757.81
  6. Step 6: Final answer
    x = 111,466.78

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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.