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Finding the Fourth Proportional to 281,606.72, 422,437.80 and 81,929.12

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Solution

The fourth proportional to 281,606.72, 422,437.80 and 81,929.12 is: 122,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,606.72 : 422,437.80 = 81,929.12 : x
  2. Step 2: Convert to fraction form
    281,606.72/422,437.80 = 81,929.12/x
  3. Step 3: Cross multiply
    281,606.72x = 422,437.80 × 81,929.12
  4. Step 4: Simplify right side
    281,606.72x = 34,609,957,208.74
  5. Step 5: Solve for x
    x = 34,609,957,208.74/281,606.72
  6. Step 6: Final answer
    x = 122,901.74

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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.