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Finding the Fourth Proportional to 138,276.57, 207,482.64 and 49,536.93

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Solution

The fourth proportional to 138,276.57, 207,482.64 and 49,536.93 is: 74,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,276.57 : 207,482.64 = 49,536.93 : x
  2. Step 2: Convert to fraction form
    138,276.57/207,482.64 = 49,536.93/x
  3. Step 3: Cross multiply
    138,276.57x = 207,482.64 × 49,536.93
  4. Step 4: Simplify right side
    138,276.57x = 10,278,053,013.90
  5. Step 5: Solve for x
    x = 10,278,053,013.90/138,276.57
  6. Step 6: Final answer
    x = 74,329.68

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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.