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Finding the Fourth Proportional to 115,442.20, 172,871.70 and 92,114.20

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Solution

The fourth proportional to 115,442.20, 172,871.70 and 92,114.20 is: 137,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,442.20 : 172,871.70 = 92,114.20 : x
  2. Step 2: Convert to fraction form
    115,442.20/172,871.70 = 92,114.20/x
  3. Step 3: Cross multiply
    115,442.20x = 172,871.70 × 92,114.20
  4. Step 4: Simplify right side
    115,442.20x = 15,923,938,348.14
  5. Step 5: Solve for x
    x = 15,923,938,348.14/115,442.20
  6. Step 6: Final answer
    x = 137,938.63

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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.