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Finding the Fourth Proportional to 85,434.68, 117,896.10 and 47,708.12

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Solution

The fourth proportional to 85,434.68, 117,896.10 and 47,708.12 is: 65,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434.68 : 117,896.10 = 47,708.12 : x
  2. Step 2: Convert to fraction form
    85,434.68/117,896.10 = 47,708.12/x
  3. Step 3: Cross multiply
    85,434.68x = 117,896.10 × 47,708.12
  4. Step 4: Simplify right side
    85,434.68x = 5,624,601,286.33
  5. Step 5: Solve for x
    x = 5,624,601,286.33/85,434.68
  6. Step 6: Final answer
    x = 65,835.11

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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.