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Finding the Fourth Proportional to 79,816, 119,643.16 and 51,753.86

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Solution

The fourth proportional to 79,816, 119,643.16 and 51,753.86 is: 77,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,816 : 119,643.16 = 51,753.86 : x
  2. Step 2: Convert to fraction form
    79,816/119,643.16 = 51,753.86/x
  3. Step 3: Cross multiply
    79,816x = 119,643.16 × 51,753.86
  4. Step 4: Simplify right side
    79,816x = 6,191,995,352.60
  5. Step 5: Solve for x
    x = 6,191,995,352.60/79,816
  6. Step 6: Final answer
    x = 77,578.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.