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Finding the Fourth Proportional to 100,130.82, 138,180.74 and 54,811.70

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Solution

The fourth proportional to 100,130.82, 138,180.74 and 54,811.70 is: 75,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,130.82 : 138,180.74 = 54,811.70 : x
  2. Step 2: Convert to fraction form
    100,130.82/138,180.74 = 54,811.70/x
  3. Step 3: Cross multiply
    100,130.82x = 138,180.74 × 54,811.70
  4. Step 4: Simplify right side
    100,130.82x = 7,573,921,266.66
  5. Step 5: Solve for x
    x = 7,573,921,266.66/100,130.82
  6. Step 6: Final answer
    x = 75,640.26

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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.