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Finding the Fourth Proportional to 254,248.55, 381,434.59 and 76,744.95

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Solution

The fourth proportional to 254,248.55, 381,434.59 and 76,744.95 is: 115,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,248.55 : 381,434.59 = 76,744.95 : x
  2. Step 2: Convert to fraction form
    254,248.55/381,434.59 = 76,744.95/x
  3. Step 3: Cross multiply
    254,248.55x = 381,434.59 × 76,744.95
  4. Step 4: Simplify right side
    254,248.55x = 29,273,178,537.82
  5. Step 5: Solve for x
    x = 29,273,178,537.82/254,248.55
  6. Step 6: Final answer
    x = 115,136.07

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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.