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Finding the Fourth Proportional to 142,423.20, 213,634.80 and 100,432.80

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Solution

The fourth proportional to 142,423.20, 213,634.80 and 100,432.80 is: 150,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,423.20 : 213,634.80 = 100,432.80 : x
  2. Step 2: Convert to fraction form
    142,423.20/213,634.80 = 100,432.80/x
  3. Step 3: Cross multiply
    142,423.20x = 213,634.80 × 100,432.80
  4. Step 4: Simplify right side
    142,423.20x = 21,455,941,141.44
  5. Step 5: Solve for x
    x = 21,455,941,141.44/142,423.20
  6. Step 6: Final answer
    x = 150,649.20

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1.5x scale

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.