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Finding the Fourth Proportional to 215,532.13, 323,298.20 and 65,773.20

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Solution

The fourth proportional to 215,532.13, 323,298.20 and 65,773.20 is: 98,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,532.13 : 323,298.20 = 65,773.20 : x
  2. Step 2: Convert to fraction form
    215,532.13/323,298.20 = 65,773.20/x
  3. Step 3: Cross multiply
    215,532.13x = 323,298.20 × 65,773.20
  4. Step 4: Simplify right side
    215,532.13x = 21,264,357,976.49
  5. Step 5: Solve for x
    x = 21,264,357,976.49/215,532.13
  6. Step 6: Final answer
    x = 98,659.81

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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.