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Finding the Fourth Proportional to 100,521.59, 138,700.50 and 64,242

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Solution

The fourth proportional to 100,521.59, 138,700.50 and 64,242 is: 88,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.59 : 138,700.50 = 64,242 : x
  2. Step 2: Convert to fraction form
    100,521.59/138,700.50 = 64,242/x
  3. Step 3: Cross multiply
    100,521.59x = 138,700.50 × 64,242
  4. Step 4: Simplify right side
    100,521.59x = 8,910,397,521
  5. Step 5: Solve for x
    x = 8,910,397,521/100,521.59
  6. Step 6: Final answer
    x = 88,641.63

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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.