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Finding the Fourth Proportional to 148,701.34, 205,211.46 and 80,721.10

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Solution

The fourth proportional to 148,701.34, 205,211.46 and 80,721.10 is: 111,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,701.34 : 205,211.46 = 80,721.10 : x
  2. Step 2: Convert to fraction form
    148,701.34/205,211.46 = 80,721.10/x
  3. Step 3: Cross multiply
    148,701.34x = 205,211.46 × 80,721.10
  4. Step 4: Simplify right side
    148,701.34x = 16,564,894,573.48
  5. Step 5: Solve for x
    x = 16,564,894,573.48/148,701.34
  6. Step 6: Final answer
    x = 111,397.08

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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.