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Finding the Fourth Proportional to 219,267, 328,952.50 and 71,523

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Solution

The fourth proportional to 219,267, 328,952.50 and 71,523 is: 107,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,267 : 328,952.50 = 71,523 : x
  2. Step 2: Convert to fraction form
    219,267/328,952.50 = 71,523/x
  3. Step 3: Cross multiply
    219,267x = 328,952.50 × 71,523
  4. Step 4: Simplify right side
    219,267x = 23,527,669,657.50
  5. Step 5: Solve for x
    x = 23,527,669,657.50/219,267
  6. Step 6: Final answer
    x = 107,301.46

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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.