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Finding the Fourth Proportional to 72,796.59, 109,117.13 and 51,956.91

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Solution

The fourth proportional to 72,796.59, 109,117.13 and 51,956.91 is: 77,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.59 : 109,117.13 = 51,956.91 : x
  2. Step 2: Convert to fraction form
    72,796.59/109,117.13 = 51,956.91/x
  3. Step 3: Cross multiply
    72,796.59x = 109,117.13 × 51,956.91
  4. Step 4: Simplify right side
    72,796.59x = 5,669,388,643.08
  5. Step 5: Solve for x
    x = 5,669,388,643.08/72,796.59
  6. Step 6: Final answer
    x = 77,879.87

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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.