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Finding the Fourth Proportional to 229,311.72, 344,102.92 and 87,276.56

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Solution

The fourth proportional to 229,311.72, 344,102.92 and 87,276.56 is: 130,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,311.72 : 344,102.92 = 87,276.56 : x
  2. Step 2: Convert to fraction form
    229,311.72/344,102.92 = 87,276.56/x
  3. Step 3: Cross multiply
    229,311.72x = 344,102.92 × 87,276.56
  4. Step 4: Simplify right side
    229,311.72x = 30,032,119,143.56
  5. Step 5: Solve for x
    x = 30,032,119,143.56/229,311.72
  6. Step 6: Final answer
    x = 130,966.35

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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.