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Finding the Fourth Proportional to 48,384, 72,524.16 and 20,296.98

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Solution

The fourth proportional to 48,384, 72,524.16 and 20,296.98 is: 30,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384 : 72,524.16 = 20,296.98 : x
  2. Step 2: Convert to fraction form
    48,384/72,524.16 = 20,296.98/x
  3. Step 3: Cross multiply
    48,384x = 72,524.16 × 20,296.98
  4. Step 4: Simplify right side
    48,384x = 1,472,021,425.04
  5. Step 5: Solve for x
    x = 1,472,021,425.04/48,384
  6. Step 6: Final answer
    x = 30,423.72

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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.