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Finding the Fourth Proportional to 100,037.88, 137,987.20 and 64,171.08

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Solution

The fourth proportional to 100,037.88, 137,987.20 and 64,171.08 is: 88,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,037.88 : 137,987.20 = 64,171.08 : x
  2. Step 2: Convert to fraction form
    100,037.88/137,987.20 = 64,171.08/x
  3. Step 3: Cross multiply
    100,037.88x = 137,987.20 × 64,171.08
  4. Step 4: Simplify right side
    100,037.88x = 8,854,787,650.18
  5. Step 5: Solve for x
    x = 8,854,787,650.18/100,037.88
  6. Step 6: Final answer
    x = 88,514.35

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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.