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Finding the Fourth Proportional to 219,432.96, 328,952.34 and 79,158.78

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Solution

The fourth proportional to 219,432.96, 328,952.34 and 79,158.78 is: 118,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,432.96 : 328,952.34 = 79,158.78 : x
  2. Step 2: Convert to fraction form
    219,432.96/328,952.34 = 79,158.78/x
  3. Step 3: Cross multiply
    219,432.96x = 328,952.34 × 79,158.78
  4. Step 4: Simplify right side
    219,432.96x = 26,039,465,912.55
  5. Step 5: Solve for x
    x = 26,039,465,912.55/219,432.96
  6. Step 6: Final answer
    x = 118,667.07

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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.