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Finding the Fourth Proportional to 138,892.16, 208,344 and 40,396.16

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Solution

The fourth proportional to 138,892.16, 208,344 and 40,396.16 is: 60,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,892.16 : 208,344 = 40,396.16 : x
  2. Step 2: Convert to fraction form
    138,892.16/208,344 = 40,396.16/x
  3. Step 3: Cross multiply
    138,892.16x = 208,344 × 40,396.16
  4. Step 4: Simplify right side
    138,892.16x = 8,416,297,559.04
  5. Step 5: Solve for x
    x = 8,416,297,559.04/138,892.16
  6. Step 6: Final answer
    x = 60,595.92

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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.