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Finding the Fourth Proportional to 77,672.82, 116,515.92 and 21,512.94

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Solution

The fourth proportional to 77,672.82, 116,515.92 and 21,512.94 is: 32,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.82 : 116,515.92 = 21,512.94 : x
  2. Step 2: Convert to fraction form
    77,672.82/116,515.92 = 21,512.94/x
  3. Step 3: Cross multiply
    77,672.82x = 116,515.92 × 21,512.94
  4. Step 4: Simplify right side
    77,672.82x = 2,506,600,174.14
  5. Step 5: Solve for x
    x = 2,506,600,174.14/77,672.82
  6. Step 6: Final answer
    x = 32,271.26

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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.