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Finding the Fourth Proportional to 83,189.16, 114,884.92 and 52,988

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Solution

The fourth proportional to 83,189.16, 114,884.92 and 52,988 is: 73,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189.16 : 114,884.92 = 52,988 : x
  2. Step 2: Convert to fraction form
    83,189.16/114,884.92 = 52,988/x
  3. Step 3: Cross multiply
    83,189.16x = 114,884.92 × 52,988
  4. Step 4: Simplify right side
    83,189.16x = 6,087,522,140.96
  5. Step 5: Solve for x
    x = 6,087,522,140.96/83,189.16
  6. Step 6: Final answer
    x = 73,176.87

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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.