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Finding the Fourth Proportional to 51,411.39, 77,128.44 and 21,854.49

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Solution

The fourth proportional to 51,411.39, 77,128.44 and 21,854.49 is: 32,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,411.39 : 77,128.44 = 21,854.49 : x
  2. Step 2: Convert to fraction form
    51,411.39/77,128.44 = 21,854.49/x
  3. Step 3: Cross multiply
    51,411.39x = 77,128.44 × 21,854.49
  4. Step 4: Simplify right side
    51,411.39x = 1,685,602,720.70
  5. Step 5: Solve for x
    x = 1,685,602,720.70/51,411.39
  6. Step 6: Final answer
    x = 32,786.56

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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.