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Finding the Fourth Proportional to 77,471.88, 106,906.80 and 43,477.20

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Solution

The fourth proportional to 77,471.88, 106,906.80 and 43,477.20 is: 59,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,471.88 : 106,906.80 = 43,477.20 : x
  2. Step 2: Convert to fraction form
    77,471.88/106,906.80 = 43,477.20/x
  3. Step 3: Cross multiply
    77,471.88x = 106,906.80 × 43,477.20
  4. Step 4: Simplify right side
    77,471.88x = 4,648,008,324.96
  5. Step 5: Solve for x
    x = 4,648,008,324.96/77,471.88
  6. Step 6: Final answer
    x = 59,996.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.