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Finding the Fourth Proportional to 76,555, 114,832.98 and 21,151.48

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Solution

The fourth proportional to 76,555, 114,832.98 and 21,151.48 is: 31,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,555 : 114,832.98 = 21,151.48 : x
  2. Step 2: Convert to fraction form
    76,555/114,832.98 = 21,151.48/x
  3. Step 3: Cross multiply
    76,555x = 114,832.98 × 21,151.48
  4. Step 4: Simplify right side
    76,555x = 2,428,887,479.81
  5. Step 5: Solve for x
    x = 2,428,887,479.81/76,555
  6. Step 6: Final answer
    x = 31,727.35

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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.