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Finding the Fourth Proportional to 77,854.67, 116,782.08 and 21,694.94

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Solution

The fourth proportional to 77,854.67, 116,782.08 and 21,694.94 is: 32,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.67 : 116,782.08 = 21,694.94 : x
  2. Step 2: Convert to fraction form
    77,854.67/116,782.08 = 21,694.94/x
  3. Step 3: Cross multiply
    77,854.67x = 116,782.08 × 21,694.94
  4. Step 4: Simplify right side
    77,854.67x = 2,533,580,052.36
  5. Step 5: Solve for x
    x = 2,533,580,052.36/77,854.67
  6. Step 6: Final answer
    x = 32,542.43

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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.