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Finding the Fourth Proportional to 77,816.40, 107,367.12 and 43,818

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Solution

The fourth proportional to 77,816.40, 107,367.12 and 43,818 is: 60,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,816.40 : 107,367.12 = 43,818 : x
  2. Step 2: Convert to fraction form
    77,816.40/107,367.12 = 43,818/x
  3. Step 3: Cross multiply
    77,816.40x = 107,367.12 × 43,818
  4. Step 4: Simplify right side
    77,816.40x = 4,704,612,464.16
  5. Step 5: Solve for x
    x = 4,704,612,464.16/77,816.40
  6. Step 6: Final answer
    x = 60,457.85

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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.