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Finding the Fourth Proportional to 281,238.72, 421,925.76 and 115,027.20

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Solution

The fourth proportional to 281,238.72, 421,925.76 and 115,027.20 is: 172,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,238.72 : 421,925.76 = 115,027.20 : x
  2. Step 2: Convert to fraction form
    281,238.72/421,925.76 = 115,027.20/x
  3. Step 3: Cross multiply
    281,238.72x = 421,925.76 × 115,027.20
  4. Step 4: Simplify right side
    281,238.72x = 48,532,938,780.67
  5. Step 5: Solve for x
    x = 48,532,938,780.67/281,238.72
  6. Step 6: Final answer
    x = 172,568.48

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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.