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Finding the Fourth Proportional to 100,658.55, 138,909.08 and 57,638.70

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Solution

The fourth proportional to 100,658.55, 138,909.08 and 57,638.70 is: 79,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,658.55 : 138,909.08 = 57,638.70 : x
  2. Step 2: Convert to fraction form
    100,658.55/138,909.08 = 57,638.70/x
  3. Step 3: Cross multiply
    100,658.55x = 138,909.08 × 57,638.70
  4. Step 4: Simplify right side
    100,658.55x = 8,006,538,933.49
  5. Step 5: Solve for x
    x = 8,006,538,933.49/100,658.55
  6. Step 6: Final answer
    x = 79,541.57

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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.