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Finding the Fourth Proportional to 78,311.13, 108,069.32 and 44,319

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Solution

The fourth proportional to 78,311.13, 108,069.32 and 44,319 is: 61,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,311.13 : 108,069.32 = 44,319 : x
  2. Step 2: Convert to fraction form
    78,311.13/108,069.32 = 44,319/x
  3. Step 3: Cross multiply
    78,311.13x = 108,069.32 × 44,319
  4. Step 4: Simplify right side
    78,311.13x = 4,789,523,971.49
  5. Step 5: Solve for x
    x = 4,789,523,971.49/78,311.13
  6. Step 6: Final answer
    x = 61,160.19

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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.