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Finding the Fourth Proportional to 152,213.60, 228,320.40 and 82,229.60

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Solution

The fourth proportional to 152,213.60, 228,320.40 and 82,229.60 is: 123,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,213.60 : 228,320.40 = 82,229.60 : x
  2. Step 2: Convert to fraction form
    152,213.60/228,320.40 = 82,229.60/x
  3. Step 3: Cross multiply
    152,213.60x = 228,320.40 × 82,229.60
  4. Step 4: Simplify right side
    152,213.60x = 18,774,695,163.84
  5. Step 5: Solve for x
    x = 18,774,695,163.84/152,213.60
  6. Step 6: Final answer
    x = 123,344.40

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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.