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Finding the Fourth Proportional to 142,525.62, 213,862.20 and 103,405.62

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Solution

The fourth proportional to 142,525.62, 213,862.20 and 103,405.62 is: 155,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,525.62 : 213,862.20 = 103,405.62 : x
  2. Step 2: Convert to fraction form
    142,525.62/213,862.20 = 103,405.62/x
  3. Step 3: Cross multiply
    142,525.62x = 213,862.20 × 103,405.62
  4. Step 4: Simplify right side
    142,525.62x = 22,114,553,385.56
  5. Step 5: Solve for x
    x = 22,114,553,385.56/142,525.62
  6. Step 6: Final answer
    x = 155,161.95

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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.