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Finding the Fourth Proportional to 142,425.20, 213,637.80 and 100,434.80

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Solution

The fourth proportional to 142,425.20, 213,637.80 and 100,434.80 is: 150,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,425.20 : 213,637.80 = 100,434.80 : x
  2. Step 2: Convert to fraction form
    142,425.20/213,637.80 = 100,434.80/x
  3. Step 3: Cross multiply
    142,425.20x = 213,637.80 × 100,434.80
  4. Step 4: Simplify right side
    142,425.20x = 21,456,669,715.44
  5. Step 5: Solve for x
    x = 21,456,669,715.44/142,425.20
  6. Step 6: Final answer
    x = 150,652.20

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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.