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Finding the Fourth Proportional to 138,340.40, 207,534.90 and 49,645.40

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Solution

The fourth proportional to 138,340.40, 207,534.90 and 49,645.40 is: 74,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,340.40 : 207,534.90 = 49,645.40 : x
  2. Step 2: Convert to fraction form
    138,340.40/207,534.90 = 49,645.40/x
  3. Step 3: Cross multiply
    138,340.40x = 207,534.90 × 49,645.40
  4. Step 4: Simplify right side
    138,340.40x = 10,303,153,124.46
  5. Step 5: Solve for x
    x = 10,303,153,124.46/138,340.40
  6. Step 6: Final answer
    x = 74,476.82

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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.