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Finding the Fourth Proportional to 72,644.80, 108,967.02 and 19,336.78

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Solution

The fourth proportional to 72,644.80, 108,967.02 and 19,336.78 is: 29,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,644.80 : 108,967.02 = 19,336.78 : x
  2. Step 2: Convert to fraction form
    72,644.80/108,967.02 = 19,336.78/x
  3. Step 3: Cross multiply
    72,644.80x = 108,967.02 × 19,336.78
  4. Step 4: Simplify right side
    72,644.80x = 2,107,070,748.16
  5. Step 5: Solve for x
    x = 2,107,070,748.16/72,644.80
  6. Step 6: Final answer
    x = 29,005.12

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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.