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Finding the Fourth Proportional to 121,156.65, 181,734.98 and 76,833.45

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Solution

The fourth proportional to 121,156.65, 181,734.98 and 76,833.45 is: 115,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,156.65 : 181,734.98 = 76,833.45 : x
  2. Step 2: Convert to fraction form
    121,156.65/181,734.98 = 76,833.45/x
  3. Step 3: Cross multiply
    121,156.65x = 181,734.98 × 76,833.45
  4. Step 4: Simplify right side
    121,156.65x = 13,963,325,114.91
  5. Step 5: Solve for x
    x = 13,963,325,114.91/121,156.65
  6. Step 6: Final answer
    x = 115,250.18

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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.