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Finding the Fourth Proportional to 148,112, 204,394.56 and 81,044

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Solution

The fourth proportional to 148,112, 204,394.56 and 81,044 is: 111,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,112 : 204,394.56 = 81,044 : x
  2. Step 2: Convert to fraction form
    148,112/204,394.56 = 81,044/x
  3. Step 3: Cross multiply
    148,112x = 204,394.56 × 81,044
  4. Step 4: Simplify right side
    148,112x = 16,564,952,720.64
  5. Step 5: Solve for x
    x = 16,564,952,720.64/148,112
  6. Step 6: Final answer
    x = 111,840.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.