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Finding the Fourth Proportional to 85,073.30, 117,400 and 47,347.56

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Solution

The fourth proportional to 85,073.30, 117,400 and 47,347.56 is: 65,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,073.30 : 117,400 = 47,347.56 : x
  2. Step 2: Convert to fraction form
    85,073.30/117,400 = 47,347.56/x
  3. Step 3: Cross multiply
    85,073.30x = 117,400 × 47,347.56
  4. Step 4: Simplify right side
    85,073.30x = 5,558,603,544
  5. Step 5: Solve for x
    x = 5,558,603,544/85,073.30
  6. Step 6: Final answer
    x = 65,338.99

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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.