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Finding the Fourth Proportional to 230,400.96, 345,600.96 and 72,643.20

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Solution

The fourth proportional to 230,400.96, 345,600.96 and 72,643.20 is: 108,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400.96 : 345,600.96 = 72,643.20 : x
  2. Step 2: Convert to fraction form
    230,400.96/345,600.96 = 72,643.20/x
  3. Step 3: Cross multiply
    230,400.96x = 345,600.96 × 72,643.20
  4. Step 4: Simplify right side
    230,400.96x = 25,105,559,657.47
  5. Step 5: Solve for x
    x = 25,105,559,657.47/230,400.96
  6. Step 6: Final answer
    x = 108,964.65

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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.