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Finding the Fourth Proportional to 281,665.72, 422,499.30 and 71,303.68

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Solution

The fourth proportional to 281,665.72, 422,499.30 and 71,303.68 is: 106,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,665.72 : 422,499.30 = 71,303.68 : x
  2. Step 2: Convert to fraction form
    281,665.72/422,499.30 = 71,303.68/x
  3. Step 3: Cross multiply
    281,665.72x = 422,499.30 × 71,303.68
  4. Step 4: Simplify right side
    281,665.72x = 30,125,754,887.42
  5. Step 5: Solve for x
    x = 30,125,754,887.42/281,665.72
  6. Step 6: Final answer
    x = 106,955.70

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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.