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Finding the Fourth Proportional to 212,522.40, 318,092.40 and 165,520.80

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Solution

The fourth proportional to 212,522.40, 318,092.40 and 165,520.80 is: 247,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,522.40 : 318,092.40 = 165,520.80 : x
  2. Step 2: Convert to fraction form
    212,522.40/318,092.40 = 165,520.80/x
  3. Step 3: Cross multiply
    212,522.40x = 318,092.40 × 165,520.80
  4. Step 4: Simplify right side
    212,522.40x = 52,650,908,521.92
  5. Step 5: Solve for x
    x = 52,650,908,521.92/212,522.40
  6. Step 6: Final answer
    x = 247,742.87

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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.