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Finding the Fourth Proportional to 103,652.28, 155,289.78 and 71,995.46

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Solution

The fourth proportional to 103,652.28, 155,289.78 and 71,995.46 is: 107,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,652.28 : 155,289.78 = 71,995.46 : x
  2. Step 2: Convert to fraction form
    103,652.28/155,289.78 = 71,995.46/x
  3. Step 3: Cross multiply
    103,652.28x = 155,289.78 × 71,995.46
  4. Step 4: Simplify right side
    103,652.28x = 11,180,158,367.95
  5. Step 5: Solve for x
    x = 11,180,158,367.95/103,652.28
  6. Step 6: Final answer
    x = 107,862.16

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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.