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Finding the Fourth Proportional to 138,615.40, 207,923.10 and 49,871.80

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Solution

The fourth proportional to 138,615.40, 207,923.10 and 49,871.80 is: 74,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,615.40 : 207,923.10 = 49,871.80 : x
  2. Step 2: Convert to fraction form
    138,615.40/207,923.10 = 49,871.80/x
  3. Step 3: Cross multiply
    138,615.40x = 207,923.10 × 49,871.80
  4. Step 4: Simplify right side
    138,615.40x = 10,369,499,258.58
  5. Step 5: Solve for x
    x = 10,369,499,258.58/138,615.40
  6. Step 6: Final answer
    x = 74,807.70

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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.