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Finding the Fourth Proportional to 85,732.76, 128,632.86 and 26,573

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Solution

The fourth proportional to 85,732.76, 128,632.86 and 26,573 is: 39,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,732.76 : 128,632.86 = 26,573 : x
  2. Step 2: Convert to fraction form
    85,732.76/128,632.86 = 26,573/x
  3. Step 3: Cross multiply
    85,732.76x = 128,632.86 × 26,573
  4. Step 4: Simplify right side
    85,732.76x = 3,418,160,988.78
  5. Step 5: Solve for x
    x = 3,418,160,988.78/85,732.76
  6. Step 6: Final answer
    x = 39,869.95

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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.