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Finding the Fourth Proportional to 138,551.40, 207,827.10 and 49,807.80

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Solution

The fourth proportional to 138,551.40, 207,827.10 and 49,807.80 is: 74,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,551.40 : 207,827.10 = 49,807.80 : x
  2. Step 2: Convert to fraction form
    138,551.40/207,827.10 = 49,807.80/x
  3. Step 3: Cross multiply
    138,551.40x = 207,827.10 × 49,807.80
  4. Step 4: Simplify right side
    138,551.40x = 10,351,410,631.38
  5. Step 5: Solve for x
    x = 10,351,410,631.38/138,551.40
  6. Step 6: Final answer
    x = 74,711.70

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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.