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Finding the Fourth Proportional to 121,043.70, 181,582.56 and 42,146.46

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Solution

The fourth proportional to 121,043.70, 181,582.56 and 42,146.46 is: 63,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,043.70 : 181,582.56 = 42,146.46 : x
  2. Step 2: Convert to fraction form
    121,043.70/181,582.56 = 42,146.46/x
  3. Step 3: Cross multiply
    121,043.70x = 181,582.56 × 42,146.46
  4. Step 4: Simplify right side
    121,043.70x = 7,653,062,101.74
  5. Step 5: Solve for x
    x = 7,653,062,101.74/121,043.70
  6. Step 6: Final answer
    x = 63,225.61

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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.