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Finding the Fourth Proportional to 77,049.36, 115,578 and 21,649.68

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Solution

The fourth proportional to 77,049.36, 115,578 and 21,649.68 is: 32,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049.36 : 115,578 = 21,649.68 : x
  2. Step 2: Convert to fraction form
    77,049.36/115,578 = 21,649.68/x
  3. Step 3: Cross multiply
    77,049.36x = 115,578 × 21,649.68
  4. Step 4: Simplify right side
    77,049.36x = 2,502,226,715.04
  5. Step 5: Solve for x
    x = 2,502,226,715.04/77,049.36
  6. Step 6: Final answer
    x = 32,475.63

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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.