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Finding the Fourth Proportional to 255,257.74, 382,886.52 and 68,264.38

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Solution

The fourth proportional to 255,257.74, 382,886.52 and 68,264.38 is: 102,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,257.74 : 382,886.52 = 68,264.38 : x
  2. Step 2: Convert to fraction form
    255,257.74/382,886.52 = 68,264.38/x
  3. Step 3: Cross multiply
    255,257.74x = 382,886.52 × 68,264.38
  4. Step 4: Simplify right side
    255,257.74x = 26,137,510,898.16
  5. Step 5: Solve for x
    x = 26,137,510,898.16/255,257.74
  6. Step 6: Final answer
    x = 102,396.55

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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.