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Finding the Fourth Proportional to 121,443.80, 182,121.93 and 51,328.58

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Solution

The fourth proportional to 121,443.80, 182,121.93 and 51,328.58 is: 76,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,443.80 : 182,121.93 = 51,328.58 : x
  2. Step 2: Convert to fraction form
    121,443.80/182,121.93 = 51,328.58/x
  3. Step 3: Cross multiply
    121,443.80x = 182,121.93 × 51,328.58
  4. Step 4: Simplify right side
    121,443.80x = 9,348,059,143.15
  5. Step 5: Solve for x
    x = 9,348,059,143.15/121,443.80
  6. Step 6: Final answer
    x = 76,974.37

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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.