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Finding the Fourth Proportional to 72,478.67, 108,713.14 and 19,883.75

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Solution

The fourth proportional to 72,478.67, 108,713.14 and 19,883.75 is: 29,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,478.67 : 108,713.14 = 19,883.75 : x
  2. Step 2: Convert to fraction form
    72,478.67/108,713.14 = 19,883.75/x
  3. Step 3: Cross multiply
    72,478.67x = 108,713.14 × 19,883.75
  4. Step 4: Simplify right side
    72,478.67x = 2,161,624,897.48
  5. Step 5: Solve for x
    x = 2,161,624,897.48/72,478.67
  6. Step 6: Final answer
    x = 29,824.29

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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.