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Finding the Fourth Proportional to 77,584.74, 116,356.10 and 21,411.34

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Solution

The fourth proportional to 77,584.74, 116,356.10 and 21,411.34 is: 32,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584.74 : 116,356.10 = 21,411.34 : x
  2. Step 2: Convert to fraction form
    77,584.74/116,356.10 = 21,411.34/x
  3. Step 3: Cross multiply
    77,584.74x = 116,356.10 × 21,411.34
  4. Step 4: Simplify right side
    77,584.74x = 2,491,339,620.23
  5. Step 5: Solve for x
    x = 2,491,339,620.23/77,584.74
  6. Step 6: Final answer
    x = 32,111.21

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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.