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Finding the Fourth Proportional to 170,761.80, 256,142.70 and 120,898.20

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Solution

The fourth proportional to 170,761.80, 256,142.70 and 120,898.20 is: 181,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,761.80 : 256,142.70 = 120,898.20 : x
  2. Step 2: Convert to fraction form
    170,761.80/256,142.70 = 120,898.20/x
  3. Step 3: Cross multiply
    170,761.80x = 256,142.70 × 120,898.20
  4. Step 4: Simplify right side
    170,761.80x = 30,967,191,373.14
  5. Step 5: Solve for x
    x = 30,967,191,373.14/170,761.80
  6. Step 6: Final answer
    x = 181,347.30

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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.