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Finding the Fourth Proportional to 77,646.97, 116,476.02 and 20,720.57

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Solution

The fourth proportional to 77,646.97, 116,476.02 and 20,720.57 is: 31,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646.97 : 116,476.02 = 20,720.57 : x
  2. Step 2: Convert to fraction form
    77,646.97/116,476.02 = 20,720.57/x
  3. Step 3: Cross multiply
    77,646.97x = 116,476.02 × 20,720.57
  4. Step 4: Simplify right side
    77,646.97x = 2,413,449,525.73
  5. Step 5: Solve for x
    x = 2,413,449,525.73/77,646.97
  6. Step 6: Final answer
    x = 31,082.34

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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.