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Finding the Fourth Proportional to 109,712.80, 151,299.66 and 75,666.88

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Solution

The fourth proportional to 109,712.80, 151,299.66 and 75,666.88 is: 104,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,712.80 : 151,299.66 = 75,666.88 : x
  2. Step 2: Convert to fraction form
    109,712.80/151,299.66 = 75,666.88/x
  3. Step 3: Cross multiply
    109,712.80x = 151,299.66 × 75,666.88
  4. Step 4: Simplify right side
    109,712.80x = 11,448,373,217.26
  5. Step 5: Solve for x
    x = 11,448,373,217.26/109,712.80
  6. Step 6: Final answer
    x = 104,348.56

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1.5x scale

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.