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Finding the Fourth Proportional to 189,659.52, 284,523.84 and 64,972.80

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Solution

The fourth proportional to 189,659.52, 284,523.84 and 64,972.80 is: 97,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,659.52 : 284,523.84 = 64,972.80 : x
  2. Step 2: Convert to fraction form
    189,659.52/284,523.84 = 64,972.80/x
  3. Step 3: Cross multiply
    189,659.52x = 284,523.84 × 64,972.80
  4. Step 4: Simplify right side
    189,659.52x = 18,486,310,551.55
  5. Step 5: Solve for x
    x = 18,486,310,551.55/189,659.52
  6. Step 6: Final answer
    x = 97,471.04

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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.