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Finding the Fourth Proportional to 281,121.76, 421,006.88 and 160,813.92

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Solution

The fourth proportional to 281,121.76, 421,006.88 and 160,813.92 is: 240,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,121.76 : 421,006.88 = 160,813.92 : x
  2. Step 2: Convert to fraction form
    281,121.76/421,006.88 = 160,813.92/x
  3. Step 3: Cross multiply
    281,121.76x = 421,006.88 × 160,813.92
  4. Step 4: Simplify right side
    281,121.76x = 67,703,766,719.77
  5. Step 5: Solve for x
    x = 67,703,766,719.77/281,121.76
  6. Step 6: Final answer
    x = 240,834.32

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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.