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Finding the Fourth Proportional to 77,536.88, 116,305.32 and 21,377.42

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Solution

The fourth proportional to 77,536.88, 116,305.32 and 21,377.42 is: 32,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,536.88 : 116,305.32 = 21,377.42 : x
  2. Step 2: Convert to fraction form
    77,536.88/116,305.32 = 21,377.42/x
  3. Step 3: Cross multiply
    77,536.88x = 116,305.32 × 21,377.42
  4. Step 4: Simplify right side
    77,536.88x = 2,486,307,673.87
  5. Step 5: Solve for x
    x = 2,486,307,673.87/77,536.88
  6. Step 6: Final answer
    x = 32,066.13

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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.