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Finding the Fourth Proportional to 230,301.84, 345,465.12 and 72,542.64

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Solution

The fourth proportional to 230,301.84, 345,465.12 and 72,542.64 is: 108,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,301.84 : 345,465.12 = 72,542.64 : x
  2. Step 2: Convert to fraction form
    230,301.84/345,465.12 = 72,542.64/x
  3. Step 3: Cross multiply
    230,301.84x = 345,465.12 × 72,542.64
  4. Step 4: Simplify right side
    230,301.84x = 25,060,951,832.72
  5. Step 5: Solve for x
    x = 25,060,951,832.72/230,301.84
  6. Step 6: Final answer
    x = 108,817.85

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1.5x scale

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.