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Finding the Fourth Proportional to 212,315.31, 318,472.97 and 54,543.92

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Solution

The fourth proportional to 212,315.31, 318,472.97 and 54,543.92 is: 81,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,315.31 : 318,472.97 = 54,543.92 : x
  2. Step 2: Convert to fraction form
    212,315.31/318,472.97 = 54,543.92/x
  3. Step 3: Cross multiply
    212,315.31x = 318,472.97 × 54,543.92
  4. Step 4: Simplify right side
    212,315.31x = 17,370,762,332.76
  5. Step 5: Solve for x
    x = 17,370,762,332.76/212,315.31
  6. Step 6: Final answer
    x = 81,815.87

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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.