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Finding the Fourth Proportional to 138,609.68, 208,264.86 and 133,004.66

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Solution

The fourth proportional to 138,609.68, 208,264.86 and 133,004.66 is: 199,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,609.68 : 208,264.86 = 133,004.66 : x
  2. Step 2: Convert to fraction form
    138,609.68/208,264.86 = 133,004.66/x
  3. Step 3: Cross multiply
    138,609.68x = 208,264.86 × 133,004.66
  4. Step 4: Simplify right side
    138,609.68x = 27,700,196,894.25
  5. Step 5: Solve for x
    x = 27,700,196,894.25/138,609.68
  6. Step 6: Final answer
    x = 199,843.16

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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.