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Finding the Fourth Proportional to 148,264.80, 221,871.92 and 130,768.80

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Solution

The fourth proportional to 148,264.80, 221,871.92 and 130,768.80 is: 195,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,264.80 : 221,871.92 = 130,768.80 : x
  2. Step 2: Convert to fraction form
    148,264.80/221,871.92 = 130,768.80/x
  3. Step 3: Cross multiply
    148,264.80x = 221,871.92 × 130,768.80
  4. Step 4: Simplify right side
    148,264.80x = 29,013,924,732.10
  5. Step 5: Solve for x
    x = 29,013,924,732.10/148,264.80
  6. Step 6: Final answer
    x = 195,689.91

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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.