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Finding the Fourth Proportional to 81,138, 111,970.44 and 45,810

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Solution

The fourth proportional to 81,138, 111,970.44 and 45,810 is: 63,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 111,970.44 = 45,810 : x
  2. Step 2: Convert to fraction form
    81,138/111,970.44 = 45,810/x
  3. Step 3: Cross multiply
    81,138x = 111,970.44 × 45,810
  4. Step 4: Simplify right side
    81,138x = 5,129,365,856.40
  5. Step 5: Solve for x
    x = 5,129,365,856.40/81,138
  6. Step 6: Final answer
    x = 63,217.80

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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.