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Finding the Fourth Proportional to 100,454.68, 138,631.80 and 60,175

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Solution

The fourth proportional to 100,454.68, 138,631.80 and 60,175 is: 83,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454.68 : 138,631.80 = 60,175 : x
  2. Step 2: Convert to fraction form
    100,454.68/138,631.80 = 60,175/x
  3. Step 3: Cross multiply
    100,454.68x = 138,631.80 × 60,175
  4. Step 4: Simplify right side
    100,454.68x = 8,342,168,565.00
  5. Step 5: Solve for x
    x = 8,342,168,565.00/100,454.68
  6. Step 6: Final answer
    x = 83,044.10

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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.