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Finding the Fourth Proportional to 312,214.62, 468,236.85 and 87,561.12

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Solution

The fourth proportional to 312,214.62, 468,236.85 and 87,561.12 is: 131,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,214.62 : 468,236.85 = 87,561.12 : x
  2. Step 2: Convert to fraction form
    312,214.62/468,236.85 = 87,561.12/x
  3. Step 3: Cross multiply
    312,214.62x = 468,236.85 × 87,561.12
  4. Step 4: Simplify right side
    312,214.62x = 40,999,343,011.27
  5. Step 5: Solve for x
    x = 40,999,343,011.27/312,214.62
  6. Step 6: Final answer
    x = 131,317.82

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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.