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Finding the Fourth Proportional to 81,031.92, 121,499.88 and 27,705.03

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Solution

The fourth proportional to 81,031.92, 121,499.88 and 27,705.03 is: 41,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,031.92 : 121,499.88 = 27,705.03 : x
  2. Step 2: Convert to fraction form
    81,031.92/121,499.88 = 27,705.03/x
  3. Step 3: Cross multiply
    81,031.92x = 121,499.88 × 27,705.03
  4. Step 4: Simplify right side
    81,031.92x = 3,366,157,820.40
  5. Step 5: Solve for x
    x = 3,366,157,820.40/81,031.92
  6. Step 6: Final answer
    x = 41,541.13

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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.