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Finding the Fourth Proportional to 230,465.12, 345,697.68 and 72,709.52

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Solution

The fourth proportional to 230,465.12, 345,697.68 and 72,709.52 is: 109,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,465.12 : 345,697.68 = 72,709.52 : x
  2. Step 2: Convert to fraction form
    230,465.12/345,697.68 = 72,709.52/x
  3. Step 3: Cross multiply
    230,465.12x = 345,697.68 × 72,709.52
  4. Step 4: Simplify right side
    230,465.12x = 25,135,512,377.91
  5. Step 5: Solve for x
    x = 25,135,512,377.91/230,465.12
  6. Step 6: Final answer
    x = 109,064.28

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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.