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Finding the Fourth Proportional to 97,119.84, 134,016.12 and 71,640

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Solution

The fourth proportional to 97,119.84, 134,016.12 and 71,640 is: 98,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,119.84 : 134,016.12 = 71,640 : x
  2. Step 2: Convert to fraction form
    97,119.84/134,016.12 = 71,640/x
  3. Step 3: Cross multiply
    97,119.84x = 134,016.12 × 71,640
  4. Step 4: Simplify right side
    97,119.84x = 9,600,914,836.80
  5. Step 5: Solve for x
    x = 9,600,914,836.80/97,119.84
  6. Step 6: Final answer
    x = 98,856.37

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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.