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Finding the Fourth Proportional to 100,572.22, 138,770.03 and 57,564.87

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Solution

The fourth proportional to 100,572.22, 138,770.03 and 57,564.87 is: 79,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572.22 : 138,770.03 = 57,564.87 : x
  2. Step 2: Convert to fraction form
    100,572.22/138,770.03 = 57,564.87/x
  3. Step 3: Cross multiply
    100,572.22x = 138,770.03 × 57,564.87
  4. Step 4: Simplify right side
    100,572.22x = 7,988,277,755.17
  5. Step 5: Solve for x
    x = 7,988,277,755.17/100,572.22
  6. Step 6: Final answer
    x = 79,428.27

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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.