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Finding the Fourth Proportional to 215,833.92, 323,473.80 and 103,345.57

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Solution

The fourth proportional to 215,833.92, 323,473.80 and 103,345.57 is: 154,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,833.92 : 323,473.80 = 103,345.57 : x
  2. Step 2: Convert to fraction form
    215,833.92/323,473.80 = 103,345.57/x
  3. Step 3: Cross multiply
    215,833.92x = 323,473.80 × 103,345.57
  4. Step 4: Simplify right side
    215,833.92x = 33,429,585,032.95
  5. Step 5: Solve for x
    x = 33,429,585,032.95/215,833.92
  6. Step 6: Final answer
    x = 154,885.69

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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.