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Finding the Fourth Proportional to 138,657, 208,000.13 and 43,900.27

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Solution

The fourth proportional to 138,657, 208,000.13 and 43,900.27 is: 65,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,657 : 208,000.13 = 43,900.27 : x
  2. Step 2: Convert to fraction form
    138,657/208,000.13 = 43,900.27/x
  3. Step 3: Cross multiply
    138,657x = 208,000.13 × 43,900.27
  4. Step 4: Simplify right side
    138,657x = 9,131,261,867.04
  5. Step 5: Solve for x
    x = 9,131,261,867.04/138,657
  6. Step 6: Final answer
    x = 65,855.04

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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.