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Finding the Fourth Proportional to 138,030.80, 207,046.20 and 49,326.80

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Solution

The fourth proportional to 138,030.80, 207,046.20 and 49,326.80 is: 73,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,030.80 : 207,046.20 = 49,326.80 : x
  2. Step 2: Convert to fraction form
    138,030.80/207,046.20 = 49,326.80/x
  3. Step 3: Cross multiply
    138,030.80x = 207,046.20 × 49,326.80
  4. Step 4: Simplify right side
    138,030.80x = 10,212,926,498.16
  5. Step 5: Solve for x
    x = 10,212,926,498.16/138,030.80
  6. Step 6: Final answer
    x = 73,990.20

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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.