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Finding the Fourth Proportional to 78,768, 108,695.50 and 44,771.76

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Solution

The fourth proportional to 78,768, 108,695.50 and 44,771.76 is: 61,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768 : 108,695.50 = 44,771.76 : x
  2. Step 2: Convert to fraction form
    78,768/108,695.50 = 44,771.76/x
  3. Step 3: Cross multiply
    78,768x = 108,695.50 × 44,771.76
  4. Step 4: Simplify right side
    78,768x = 4,866,488,839.08
  5. Step 5: Solve for x
    x = 4,866,488,839.08/78,768
  6. Step 6: Final answer
    x = 61,782.56

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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.