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Finding the Fourth Proportional to 138,893, 208,374.78 and 40,397

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Solution

The fourth proportional to 138,893, 208,374.78 and 40,397 is: 60,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,893 : 208,374.78 = 40,397 : x
  2. Step 2: Convert to fraction form
    138,893/208,374.78 = 40,397/x
  3. Step 3: Cross multiply
    138,893x = 208,374.78 × 40,397
  4. Step 4: Simplify right side
    138,893x = 8,417,715,987.66
  5. Step 5: Solve for x
    x = 8,417,715,987.66/138,893
  6. Step 6: Final answer
    x = 60,605.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.