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Finding the Fourth Proportional to 254,042.98, 381,065.12 and 85,681.56

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Solution

The fourth proportional to 254,042.98, 381,065.12 and 85,681.56 is: 128,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,042.98 : 381,065.12 = 85,681.56 : x
  2. Step 2: Convert to fraction form
    254,042.98/381,065.12 = 85,681.56/x
  3. Step 3: Cross multiply
    254,042.98x = 381,065.12 × 85,681.56
  4. Step 4: Simplify right side
    254,042.98x = 32,650,253,943.19
  5. Step 5: Solve for x
    x = 32,650,253,943.19/254,042.98
  6. Step 6: Final answer
    x = 128,522.56

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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.