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Finding the Fourth Proportional to 148,761.58, 222,761.40 and 82,127.74

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Solution

The fourth proportional to 148,761.58, 222,761.40 and 82,127.74 is: 122,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,761.58 : 222,761.40 = 82,127.74 : x
  2. Step 2: Convert to fraction form
    148,761.58/222,761.40 = 82,127.74/x
  3. Step 3: Cross multiply
    148,761.58x = 222,761.40 × 82,127.74
  4. Step 4: Simplify right side
    148,761.58x = 18,294,890,341.24
  5. Step 5: Solve for x
    x = 18,294,890,341.24/148,761.58
  6. Step 6: Final answer
    x = 122,981.29

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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.