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Finding the Fourth Proportional to 77,447.76, 116,158.22 and 21,274.48

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Solution

The fourth proportional to 77,447.76, 116,158.22 and 21,274.48 is: 31,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,447.76 : 116,158.22 = 21,274.48 : x
  2. Step 2: Convert to fraction form
    77,447.76/116,158.22 = 21,274.48/x
  3. Step 3: Cross multiply
    77,447.76x = 116,158.22 × 21,274.48
  4. Step 4: Simplify right side
    77,447.76x = 2,471,205,846.83
  5. Step 5: Solve for x
    x = 2,471,205,846.83/77,447.76
  6. Step 6: Final answer
    x = 31,908.04

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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.