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Finding the Fourth Proportional to 138,459.36, 207,716.88 and 49,719.84

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Solution

The fourth proportional to 138,459.36, 207,716.88 and 49,719.84 is: 74,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,459.36 : 207,716.88 = 49,719.84 : x
  2. Step 2: Convert to fraction form
    138,459.36/207,716.88 = 49,719.84/x
  3. Step 3: Cross multiply
    138,459.36x = 207,716.88 × 49,719.84
  4. Step 4: Simplify right side
    138,459.36x = 10,327,650,038.90
  5. Step 5: Solve for x
    x = 10,327,650,038.90/138,459.36
  6. Step 6: Final answer
    x = 74,589.76

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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.