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Finding the Fourth Proportional to 77,816, 107,405.52 and 44,301.44

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Solution

The fourth proportional to 77,816, 107,405.52 and 44,301.44 is: 61,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,816 : 107,405.52 = 44,301.44 : x
  2. Step 2: Convert to fraction form
    77,816/107,405.52 = 44,301.44/x
  3. Step 3: Cross multiply
    77,816x = 107,405.52 × 44,301.44
  4. Step 4: Simplify right side
    77,816x = 4,758,219,199.95
  5. Step 5: Solve for x
    x = 4,758,219,199.95/77,816
  6. Step 6: Final answer
    x = 61,147.05

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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.