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Finding the Fourth Proportional to 81,345.80, 121,824.30 and 65,793.80

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Solution

The fourth proportional to 81,345.80, 121,824.30 and 65,793.80 is: 98,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,345.80 : 121,824.30 = 65,793.80 : x
  2. Step 2: Convert to fraction form
    81,345.80/121,824.30 = 65,793.80/x
  3. Step 3: Cross multiply
    81,345.80x = 121,824.30 × 65,793.80
  4. Step 4: Simplify right side
    81,345.80x = 8,015,283,629.34
  5. Step 5: Solve for x
    x = 8,015,283,629.34/81,345.80
  6. Step 6: Final answer
    x = 98,533.47

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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.