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Finding the Fourth Proportional to 121,176.40, 181,772.70 and 41,213.20

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Solution

The fourth proportional to 121,176.40, 181,772.70 and 41,213.20 is: 61,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,176.40 : 181,772.70 = 41,213.20 : x
  2. Step 2: Convert to fraction form
    121,176.40/181,772.70 = 41,213.20/x
  3. Step 3: Cross multiply
    121,176.40x = 181,772.70 × 41,213.20
  4. Step 4: Simplify right side
    121,176.40x = 7,491,434,639.64
  5. Step 5: Solve for x
    x = 7,491,434,639.64/121,176.40
  6. Step 6: Final answer
    x = 61,822.55

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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.