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Finding the Fourth Proportional to 85,164.17, 116,675.42 and 81,971.87

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Solution

The fourth proportional to 85,164.17, 116,675.42 and 81,971.87 is: 112,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,164.17 : 116,675.42 = 81,971.87 : x
  2. Step 2: Convert to fraction form
    85,164.17/116,675.42 = 81,971.87/x
  3. Step 3: Cross multiply
    85,164.17x = 116,675.42 × 81,971.87
  4. Step 4: Simplify right side
    85,164.17x = 9,564,101,367.20
  5. Step 5: Solve for x
    x = 9,564,101,367.20/85,164.17
  6. Step 6: Final answer
    x = 112,301.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.