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Finding the Fourth Proportional to 72,409.40, 108,614.16 and 19,819.32

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Solution

The fourth proportional to 72,409.40, 108,614.16 and 19,819.32 is: 29,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,409.40 : 108,614.16 = 19,819.32 : x
  2. Step 2: Convert to fraction form
    72,409.40/108,614.16 = 19,819.32/x
  3. Step 3: Cross multiply
    72,409.40x = 108,614.16 × 19,819.32
  4. Step 4: Simplify right side
    72,409.40x = 2,152,658,793.57
  5. Step 5: Solve for x
    x = 2,152,658,793.57/72,409.40
  6. Step 6: Final answer
    x = 29,729.00

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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.