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Finding the Fourth Proportional to 81,792.96, 122,702.40 and 26,376

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Solution

The fourth proportional to 81,792.96, 122,702.40 and 26,376 is: 39,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,792.96 : 122,702.40 = 26,376 : x
  2. Step 2: Convert to fraction form
    81,792.96/122,702.40 = 26,376/x
  3. Step 3: Cross multiply
    81,792.96x = 122,702.40 × 26,376
  4. Step 4: Simplify right side
    81,792.96x = 3,236,398,502.40
  5. Step 5: Solve for x
    x = 3,236,398,502.40/81,792.96
  6. Step 6: Final answer
    x = 39,568.18

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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.