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Finding the Fourth Proportional to 92,128, 138,192 and 26,464

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Solution

The fourth proportional to 92,128, 138,192 and 26,464 is: 39,696

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,128 : 138,192 = 26,464 : x
  2. Step 2: Convert to fraction form
    92,128/138,192 = 26,464/x
  3. Step 3: Cross multiply
    92,128x = 138,192 × 26,464
  4. Step 4: Simplify right side
    92,128x = 3,657,113,088
  5. Step 5: Solve for x
    x = 3,657,113,088/92,128
  6. Step 6: Final answer
    x = 39,696

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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.