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Finding the Fourth Proportional to 121,212.78, 181,819.20 and 38,106.78

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Solution

The fourth proportional to 121,212.78, 181,819.20 and 38,106.78 is: 57,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,212.78 : 181,819.20 = 38,106.78 : x
  2. Step 2: Convert to fraction form
    121,212.78/181,819.20 = 38,106.78/x
  3. Step 3: Cross multiply
    121,212.78x = 181,819.20 × 38,106.78
  4. Step 4: Simplify right side
    121,212.78x = 6,928,544,254.18
  5. Step 5: Solve for x
    x = 6,928,544,254.18/121,212.78
  6. Step 6: Final answer
    x = 57,160.18

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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.