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Finding the Fourth Proportional to 81,220, 112,096.56 and 47,679.52

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Solution

The fourth proportional to 81,220, 112,096.56 and 47,679.52 is: 65,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,220 : 112,096.56 = 47,679.52 : x
  2. Step 2: Convert to fraction form
    81,220/112,096.56 = 47,679.52/x
  3. Step 3: Cross multiply
    81,220x = 112,096.56 × 47,679.52
  4. Step 4: Simplify right side
    81,220x = 5,344,710,174.45
  5. Step 5: Solve for x
    x = 5,344,710,174.45/81,220
  6. Step 6: Final answer
    x = 65,805.35

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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.