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Finding the Fourth Proportional to 77,680.74, 116,523.69 and 21,521.42

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Solution

The fourth proportional to 77,680.74, 116,523.69 and 21,521.42 is: 32,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,680.74 : 116,523.69 = 21,521.42 : x
  2. Step 2: Convert to fraction form
    77,680.74/116,523.69 = 21,521.42/x
  3. Step 3: Cross multiply
    77,680.74x = 116,523.69 × 21,521.42
  4. Step 4: Simplify right side
    77,680.74x = 2,507,754,689.82
  5. Step 5: Solve for x
    x = 2,507,754,689.82/77,680.74
  6. Step 6: Final answer
    x = 32,282.84

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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.