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Finding the Fourth Proportional to 157,082.25, 216,772.29 and 85,462.05

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Solution

The fourth proportional to 157,082.25, 216,772.29 and 85,462.05 is: 117,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,082.25 : 216,772.29 = 85,462.05 : x
  2. Step 2: Convert to fraction form
    157,082.25/216,772.29 = 85,462.05/x
  3. Step 3: Cross multiply
    157,082.25x = 216,772.29 × 85,462.05
  4. Step 4: Simplify right side
    157,082.25x = 18,525,804,286.59
  5. Step 5: Solve for x
    x = 18,525,804,286.59/157,082.25
  6. Step 6: Final answer
    x = 117,936.97

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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.