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Finding the Fourth Proportional to 100,157.88, 138,217.64 and 59,869.68

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Solution

The fourth proportional to 100,157.88, 138,217.64 and 59,869.68 is: 82,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.88 : 138,217.64 = 59,869.68 : x
  2. Step 2: Convert to fraction form
    100,157.88/138,217.64 = 59,869.68/x
  3. Step 3: Cross multiply
    100,157.88x = 138,217.64 × 59,869.68
  4. Step 4: Simplify right side
    100,157.88x = 8,275,045,877.16
  5. Step 5: Solve for x
    x = 8,275,045,877.16/100,157.88
  6. Step 6: Final answer
    x = 82,620.02

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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.