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Finding the Fourth Proportional to 85,471.71, 117,950.31 and 47,233.84

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Solution

The fourth proportional to 85,471.71, 117,950.31 and 47,233.84 is: 65,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471.71 : 117,950.31 = 47,233.84 : x
  2. Step 2: Convert to fraction form
    85,471.71/117,950.31 = 47,233.84/x
  3. Step 3: Cross multiply
    85,471.71x = 117,950.31 × 47,233.84
  4. Step 4: Simplify right side
    85,471.71x = 5,571,246,070.49
  5. Step 5: Solve for x
    x = 5,571,246,070.49/85,471.71
  6. Step 6: Final answer
    x = 65,182.34

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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.