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Finding the Fourth Proportional to 230,153.16, 345,230.64 and 80,392.86

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Solution

The fourth proportional to 230,153.16, 345,230.64 and 80,392.86 is: 120,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,153.16 : 345,230.64 = 80,392.86 : x
  2. Step 2: Convert to fraction form
    230,153.16/345,230.64 = 80,392.86/x
  3. Step 3: Cross multiply
    230,153.16x = 345,230.64 × 80,392.86
  4. Step 4: Simplify right side
    230,153.16x = 27,754,078,509.23
  5. Step 5: Solve for x
    x = 27,754,078,509.23/230,153.16
  6. Step 6: Final answer
    x = 120,589.60

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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.