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Finding the Fourth Proportional to 100,700.38, 138,965.52 and 55,377.64

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Solution

The fourth proportional to 100,700.38, 138,965.52 and 55,377.64 is: 76,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.38 : 138,965.52 = 55,377.64 : x
  2. Step 2: Convert to fraction form
    100,700.38/138,965.52 = 55,377.64/x
  3. Step 3: Cross multiply
    100,700.38x = 138,965.52 × 55,377.64
  4. Step 4: Simplify right side
    100,700.38x = 7,695,582,538.97
  5. Step 5: Solve for x
    x = 7,695,582,538.97/100,700.38
  6. Step 6: Final answer
    x = 76,420.59

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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.