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Finding the Fourth Proportional to 155,820.70, 233,743.20 and 67,077.10

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Solution

The fourth proportional to 155,820.70, 233,743.20 and 67,077.10 is: 100,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,820.70 : 233,743.20 = 67,077.10 : x
  2. Step 2: Convert to fraction form
    155,820.70/233,743.20 = 67,077.10/x
  3. Step 3: Cross multiply
    155,820.70x = 233,743.20 × 67,077.10
  4. Step 4: Simplify right side
    155,820.70x = 15,678,816,000.72
  5. Step 5: Solve for x
    x = 15,678,816,000.72/155,820.70
  6. Step 6: Final answer
    x = 100,620.88

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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.