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Finding the Fourth Proportional to 85,157.32, 117,506 and 49,339.66

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Solution

The fourth proportional to 85,157.32, 117,506 and 49,339.66 is: 68,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,157.32 : 117,506 = 49,339.66 : x
  2. Step 2: Convert to fraction form
    85,157.32/117,506 = 49,339.66/x
  3. Step 3: Cross multiply
    85,157.32x = 117,506 × 49,339.66
  4. Step 4: Simplify right side
    85,157.32x = 5,797,706,087.96
  5. Step 5: Solve for x
    x = 5,797,706,087.96/85,157.32
  6. Step 6: Final answer
    x = 68,082.30

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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.