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Finding the Fourth Proportional to 117,147.92, 161,703.56 and 71,207.40

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Solution

The fourth proportional to 117,147.92, 161,703.56 and 71,207.40 is: 98,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,147.92 : 161,703.56 = 71,207.40 : x
  2. Step 2: Convert to fraction form
    117,147.92/161,703.56 = 71,207.40/x
  3. Step 3: Cross multiply
    117,147.92x = 161,703.56 × 71,207.40
  4. Step 4: Simplify right side
    117,147.92x = 11,514,490,078.34
  5. Step 5: Solve for x
    x = 11,514,490,078.34/117,147.92
  6. Step 6: Final answer
    x = 98,290.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.