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Finding the Fourth Proportional to 78,319.62, 108,082.69 and 44,328.11

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Solution

The fourth proportional to 78,319.62, 108,082.69 and 44,328.11 is: 61,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,319.62 : 108,082.69 = 44,328.11 : x
  2. Step 2: Convert to fraction form
    78,319.62/108,082.69 = 44,328.11/x
  3. Step 3: Cross multiply
    78,319.62x = 108,082.69 × 44,328.11
  4. Step 4: Simplify right side
    78,319.62x = 4,791,100,720.18
  5. Step 5: Solve for x
    x = 4,791,100,720.18/78,319.62
  6. Step 6: Final answer
    x = 61,173.70

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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.