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Finding the Fourth Proportional to 81,774.60, 112,868.82 and 49,970.28

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Solution

The fourth proportional to 81,774.60, 112,868.82 and 49,970.28 is: 68,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,774.60 : 112,868.82 = 49,970.28 : x
  2. Step 2: Convert to fraction form
    81,774.60/112,868.82 = 49,970.28/x
  3. Step 3: Cross multiply
    81,774.60x = 112,868.82 × 49,970.28
  4. Step 4: Simplify right side
    81,774.60x = 5,640,086,538.67
  5. Step 5: Solve for x
    x = 5,640,086,538.67/81,774.60
  6. Step 6: Final answer
    x = 68,971.13

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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.