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Finding the Fourth Proportional to 105,132.52, 157,422.30 and 80,525.80

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Solution

The fourth proportional to 105,132.52, 157,422.30 and 80,525.80 is: 120,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,132.52 : 157,422.30 = 80,525.80 : x
  2. Step 2: Convert to fraction form
    105,132.52/157,422.30 = 80,525.80/x
  3. Step 3: Cross multiply
    105,132.52x = 157,422.30 × 80,525.80
  4. Step 4: Simplify right side
    105,132.52x = 12,676,556,645.34
  5. Step 5: Solve for x
    x = 12,676,556,645.34/105,132.52
  6. Step 6: Final answer
    x = 120,576.93

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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.