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Finding the Fourth Proportional to 85,248, 127,872 and 26,880

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Solution

The fourth proportional to 85,248, 127,872 and 26,880 is: 40,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,248 : 127,872 = 26,880 : x
  2. Step 2: Convert to fraction form
    85,248/127,872 = 26,880/x
  3. Step 3: Cross multiply
    85,248x = 127,872 × 26,880
  4. Step 4: Simplify right side
    85,248x = 3,437,199,360
  5. Step 5: Solve for x
    x = 3,437,199,360/85,248
  6. Step 6: Final answer
    x = 40,320

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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.