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Finding the Fourth Proportional to 121,353.50, 182,112.26 and 42,468.41

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Solution

The fourth proportional to 121,353.50, 182,112.26 and 42,468.41 is: 63,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,353.50 : 182,112.26 = 42,468.41 : x
  2. Step 2: Convert to fraction form
    121,353.50/182,112.26 = 42,468.41/x
  3. Step 3: Cross multiply
    121,353.50x = 182,112.26 × 42,468.41
  4. Step 4: Simplify right side
    121,353.50x = 7,734,017,000.80
  5. Step 5: Solve for x
    x = 7,734,017,000.80/121,353.50
  6. Step 6: Final answer
    x = 63,731.31

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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.