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Finding the Fourth Proportional to 84,776, 127,164 and 26,408

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Solution

The fourth proportional to 84,776, 127,164 and 26,408 is: 39,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,776 : 127,164 = 26,408 : x
  2. Step 2: Convert to fraction form
    84,776/127,164 = 26,408/x
  3. Step 3: Cross multiply
    84,776x = 127,164 × 26,408
  4. Step 4: Simplify right side
    84,776x = 3,358,146,912
  5. Step 5: Solve for x
    x = 3,358,146,912/84,776
  6. Step 6: Final answer
    x = 39,612

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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.