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Finding the Fourth Proportional to 85,433.44, 128,061 and 29,257

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Solution

The fourth proportional to 85,433.44, 128,061 and 29,257 is: 43,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.44 : 128,061 = 29,257 : x
  2. Step 2: Convert to fraction form
    85,433.44/128,061 = 29,257/x
  3. Step 3: Cross multiply
    85,433.44x = 128,061 × 29,257
  4. Step 4: Simplify right side
    85,433.44x = 3,746,680,677
  5. Step 5: Solve for x
    x = 3,746,680,677/85,433.44
  6. Step 6: Final answer
    x = 43,854.97

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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.