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Finding the Fourth Proportional to 138,164.34, 207,246.48 and 49,412.46

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Solution

The fourth proportional to 138,164.34, 207,246.48 and 49,412.46 is: 74,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.34 : 207,246.48 = 49,412.46 : x
  2. Step 2: Convert to fraction form
    138,164.34/207,246.48 = 49,412.46/x
  3. Step 3: Cross multiply
    138,164.34x = 207,246.48 × 49,412.46
  4. Step 4: Simplify right side
    138,164.34x = 10,240,558,403.14
  5. Step 5: Solve for x
    x = 10,240,558,403.14/138,164.34
  6. Step 6: Final answer
    x = 74,118.68

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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.