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Finding the Fourth Proportional to 85,295, 117,707.10 and 47,568.44

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Solution

The fourth proportional to 85,295, 117,707.10 and 47,568.44 is: 65,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,295 : 117,707.10 = 47,568.44 : x
  2. Step 2: Convert to fraction form
    85,295/117,707.10 = 47,568.44/x
  3. Step 3: Cross multiply
    85,295x = 117,707.10 × 47,568.44
  4. Step 4: Simplify right side
    85,295x = 5,599,143,123.92
  5. Step 5: Solve for x
    x = 5,599,143,123.92/85,295
  6. Step 6: Final answer
    x = 65,644.45

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1.5x scale

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.