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Finding the Fourth Proportional to 212,626.92, 318,971.50 and 77,697.66

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Solution

The fourth proportional to 212,626.92, 318,971.50 and 77,697.66 is: 116,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,626.92 : 318,971.50 = 77,697.66 : x
  2. Step 2: Convert to fraction form
    212,626.92/318,971.50 = 77,697.66/x
  3. Step 3: Cross multiply
    212,626.92x = 318,971.50 × 77,697.66
  4. Step 4: Simplify right side
    212,626.92x = 24,783,339,156.69
  5. Step 5: Solve for x
    x = 24,783,339,156.69/212,626.92
  6. Step 6: Final answer
    x = 116,557.86

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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.