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Finding the Fourth Proportional to 85,329.87, 117,754.40 and 47,089.77

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Solution

The fourth proportional to 85,329.87, 117,754.40 and 47,089.77 is: 64,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329.87 : 117,754.40 = 47,089.77 : x
  2. Step 2: Convert to fraction form
    85,329.87/117,754.40 = 47,089.77/x
  3. Step 3: Cross multiply
    85,329.87x = 117,754.40 × 47,089.77
  4. Step 4: Simplify right side
    85,329.87x = 5,545,027,377.04
  5. Step 5: Solve for x
    x = 5,545,027,377.04/85,329.87
  6. Step 6: Final answer
    x = 64,983.43

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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.