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Finding the Fourth Proportional to 121,215.46, 181,851.80 and 38,109.46

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Solution

The fourth proportional to 121,215.46, 181,851.80 and 38,109.46 is: 57,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,215.46 : 181,851.80 = 38,109.46 : x
  2. Step 2: Convert to fraction form
    121,215.46/181,851.80 = 38,109.46/x
  3. Step 3: Cross multiply
    121,215.46x = 181,851.80 × 38,109.46
  4. Step 4: Simplify right side
    121,215.46x = 6,930,272,988.77
  5. Step 5: Solve for x
    x = 6,930,272,988.77/121,215.46
  6. Step 6: Final answer
    x = 57,173.18

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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.