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Finding the Fourth Proportional to 215,911.28, 323,870.08 and 97,500.08

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Solution

The fourth proportional to 215,911.28, 323,870.08 and 97,500.08 is: 146,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,911.28 : 323,870.08 = 97,500.08 : x
  2. Step 2: Convert to fraction form
    215,911.28/323,870.08 = 97,500.08/x
  3. Step 3: Cross multiply
    215,911.28x = 323,870.08 × 97,500.08
  4. Step 4: Simplify right side
    215,911.28x = 31,577,358,709.61
  5. Step 5: Solve for x
    x = 31,577,358,709.61/215,911.28
  6. Step 6: Final answer
    x = 146,251.55

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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.