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Finding the Fourth Proportional to 138,892, 208,373.28 and 40,396

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Solution

The fourth proportional to 138,892, 208,373.28 and 40,396 is: 60,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,892 : 208,373.28 = 40,396 : x
  2. Step 2: Convert to fraction form
    138,892/208,373.28 = 40,396/x
  3. Step 3: Cross multiply
    138,892x = 208,373.28 × 40,396
  4. Step 4: Simplify right side
    138,892x = 8,417,447,018.88
  5. Step 5: Solve for x
    x = 8,417,447,018.88/138,892
  6. Step 6: Final answer
    x = 60,604.26

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