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Finding the Fourth Proportional to 100,157.40, 138,218.82 and 54,834.60

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Solution

The fourth proportional to 100,157.40, 138,218.82 and 54,834.60 is: 75,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.40 : 138,218.82 = 54,834.60 : x
  2. Step 2: Convert to fraction form
    100,157.40/138,218.82 = 54,834.60/x
  3. Step 3: Cross multiply
    100,157.40x = 138,218.82 × 54,834.60
  4. Step 4: Simplify right side
    100,157.40x = 7,579,173,707.17
  5. Step 5: Solve for x
    x = 7,579,173,707.17/100,157.40
  6. Step 6: Final answer
    x = 75,672.63

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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.