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Finding the Fourth Proportional to 138,185.46, 207,321.93 and 49,437

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Solution

The fourth proportional to 138,185.46, 207,321.93 and 49,437 is: 74,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,185.46 : 207,321.93 = 49,437 : x
  2. Step 2: Convert to fraction form
    138,185.46/207,321.93 = 49,437/x
  3. Step 3: Cross multiply
    138,185.46x = 207,321.93 × 49,437
  4. Step 4: Simplify right side
    138,185.46x = 10,249,374,253.41
  5. Step 5: Solve for x
    x = 10,249,374,253.41/138,185.46
  6. Step 6: Final answer
    x = 74,171.15

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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.