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Finding the Fourth Proportional to 161,145.44, 241,469.76 and 86,275.52

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Solution

The fourth proportional to 161,145.44, 241,469.76 and 86,275.52 is: 129,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,145.44 : 241,469.76 = 86,275.52 : x
  2. Step 2: Convert to fraction form
    161,145.44/241,469.76 = 86,275.52/x
  3. Step 3: Cross multiply
    161,145.44x = 241,469.76 × 86,275.52
  4. Step 4: Simplify right side
    161,145.44x = 20,832,929,108.28
  5. Step 5: Solve for x
    x = 20,832,929,108.28/161,145.44
  6. Step 6: Final answer
    x = 129,280.29

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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.