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Finding the Fourth Proportional to 138,164.40, 207,246.60 and 49,420.80

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Solution

The fourth proportional to 138,164.40, 207,246.60 and 49,420.80 is: 74,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.40 : 207,246.60 = 49,420.80 : x
  2. Step 2: Convert to fraction form
    138,164.40/207,246.60 = 49,420.80/x
  3. Step 3: Cross multiply
    138,164.40x = 207,246.60 × 49,420.80
  4. Step 4: Simplify right side
    138,164.40x = 10,242,292,769.28
  5. Step 5: Solve for x
    x = 10,242,292,769.28/138,164.40
  6. Step 6: Final answer
    x = 74,131.20

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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.