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Finding the Fourth Proportional to 80,138.68, 110,554.14 and 51,853.48

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Solution

The fourth proportional to 80,138.68, 110,554.14 and 51,853.48 is: 71,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,138.68 : 110,554.14 = 51,853.48 : x
  2. Step 2: Convert to fraction form
    80,138.68/110,554.14 = 51,853.48/x
  3. Step 3: Cross multiply
    80,138.68x = 110,554.14 × 51,853.48
  4. Step 4: Simplify right side
    80,138.68x = 5,732,616,887.41
  5. Step 5: Solve for x
    x = 5,732,616,887.41/80,138.68
  6. Step 6: Final answer
    x = 71,533.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.