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Finding the Fourth Proportional to 100,079.76, 138,108.89 and 54,757.22

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Solution

The fourth proportional to 100,079.76, 138,108.89 and 54,757.22 is: 75,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,079.76 : 138,108.89 = 54,757.22 : x
  2. Step 2: Convert to fraction form
    100,079.76/138,108.89 = 54,757.22/x
  3. Step 3: Cross multiply
    100,079.76x = 138,108.89 × 54,757.22
  4. Step 4: Simplify right side
    100,079.76x = 7,562,457,909.36
  5. Step 5: Solve for x
    x = 7,562,457,909.36/100,079.76
  6. Step 6: Final answer
    x = 75,564.31

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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.