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Finding the Fourth Proportional to 267,612.01, 401,378.92 and 78,021.43

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Solution

The fourth proportional to 267,612.01, 401,378.92 and 78,021.43 is: 117,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,612.01 : 401,378.92 = 78,021.43 : x
  2. Step 2: Convert to fraction form
    267,612.01/401,378.92 = 78,021.43/x
  3. Step 3: Cross multiply
    267,612.01x = 401,378.92 × 78,021.43
  4. Step 4: Simplify right side
    267,612.01x = 31,316,156,111.75
  5. Step 5: Solve for x
    x = 31,316,156,111.75/267,612.01
  6. Step 6: Final answer
    x = 117,020.74

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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.