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Finding the Fourth Proportional to 228,411.65, 342,523.16 and 86,232.73

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Solution

The fourth proportional to 228,411.65, 342,523.16 and 86,232.73 is: 129,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,411.65 : 342,523.16 = 86,232.73 : x
  2. Step 2: Convert to fraction form
    228,411.65/342,523.16 = 86,232.73/x
  3. Step 3: Cross multiply
    228,411.65x = 342,523.16 × 86,232.73
  4. Step 4: Simplify right side
    228,411.65x = 29,536,705,647.28
  5. Step 5: Solve for x
    x = 29,536,705,647.28/228,411.65
  6. Step 6: Final answer
    x = 129,313.48

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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.