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Finding the Fourth Proportional to 77,691.35, 116,542.90 and 21,530.81

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Solution

The fourth proportional to 77,691.35, 116,542.90 and 21,530.81 is: 32,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,691.35 : 116,542.90 = 21,530.81 : x
  2. Step 2: Convert to fraction form
    77,691.35/116,542.90 = 21,530.81/x
  3. Step 3: Cross multiply
    77,691.35x = 116,542.90 × 21,530.81
  4. Step 4: Simplify right side
    77,691.35x = 2,509,262,837.24
  5. Step 5: Solve for x
    x = 2,509,262,837.24/77,691.35
  6. Step 6: Final answer
    x = 32,297.84

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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.