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Finding the Fourth Proportional to 138,641.40, 207,962.10 and 49,897.80

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Solution

The fourth proportional to 138,641.40, 207,962.10 and 49,897.80 is: 74,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,641.40 : 207,962.10 = 49,897.80 : x
  2. Step 2: Convert to fraction form
    138,641.40/207,962.10 = 49,897.80/x
  3. Step 3: Cross multiply
    138,641.40x = 207,962.10 × 49,897.80
  4. Step 4: Simplify right side
    138,641.40x = 10,376,851,273.38
  5. Step 5: Solve for x
    x = 10,376,851,273.38/138,641.40
  6. Step 6: Final answer
    x = 74,846.70

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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.