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Finding the Fourth Proportional to 230,193.20, 317,715.64 and 154,697.96

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Solution

The fourth proportional to 230,193.20, 317,715.64 and 154,697.96 is: 213,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,193.20 : 317,715.64 = 154,697.96 : x
  2. Step 2: Convert to fraction form
    230,193.20/317,715.64 = 154,697.96/x
  3. Step 3: Cross multiply
    230,193.20x = 317,715.64 × 154,697.96
  4. Step 4: Simplify right side
    230,193.20x = 49,149,961,368.09
  5. Step 5: Solve for x
    x = 49,149,961,368.09/230,193.20
  6. Step 6: Final answer
    x = 213,516.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.