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Finding the Fourth Proportional to 281,216.40, 421,886.56 and 81,545.12

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Solution

The fourth proportional to 281,216.40, 421,886.56 and 81,545.12 is: 122,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,216.40 : 421,886.56 = 81,545.12 : x
  2. Step 2: Convert to fraction form
    281,216.40/421,886.56 = 81,545.12/x
  3. Step 3: Cross multiply
    281,216.40x = 421,886.56 × 81,545.12
  4. Step 4: Simplify right side
    281,216.40x = 34,402,790,161.59
  5. Step 5: Solve for x
    x = 34,402,790,161.59/281,216.40
  6. Step 6: Final answer
    x = 122,335.65

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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.