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Finding the Fourth Proportional to 72,482.70, 108,719.16 and 19,887.78

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Solution

The fourth proportional to 72,482.70, 108,719.16 and 19,887.78 is: 29,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,482.70 : 108,719.16 = 19,887.78 : x
  2. Step 2: Convert to fraction form
    72,482.70/108,719.16 = 19,887.78/x
  3. Step 3: Cross multiply
    72,482.70x = 108,719.16 × 19,887.78
  4. Step 4: Simplify right side
    72,482.70x = 2,162,182,735.86
  5. Step 5: Solve for x
    x = 2,162,182,735.86/72,482.70
  6. Step 6: Final answer
    x = 29,830.33

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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.