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Finding the Fourth Proportional to 92,380, 127,484.48 and 49,938.52

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Solution

The fourth proportional to 92,380, 127,484.48 and 49,938.52 is: 68,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,380 : 127,484.48 = 49,938.52 : x
  2. Step 2: Convert to fraction form
    92,380/127,484.48 = 49,938.52/x
  3. Step 3: Cross multiply
    92,380x = 127,484.48 × 49,938.52
  4. Step 4: Simplify right side
    92,380x = 6,366,386,254.17
  5. Step 5: Solve for x
    x = 6,366,386,254.17/92,380
  6. Step 6: Final answer
    x = 68,915.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.