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Finding the Fourth Proportional to 212,898.92, 319,391.58 and 79,776.68

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Solution

The fourth proportional to 212,898.92, 319,391.58 and 79,776.68 is: 119,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,898.92 : 319,391.58 = 79,776.68 : x
  2. Step 2: Convert to fraction form
    212,898.92/319,391.58 = 79,776.68/x
  3. Step 3: Cross multiply
    212,898.92x = 319,391.58 × 79,776.68
  4. Step 4: Simplify right side
    212,898.92x = 25,479,999,872.35
  5. Step 5: Solve for x
    x = 25,479,999,872.35/212,898.92
  6. Step 6: Final answer
    x = 119,681.21

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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.