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Finding the Fourth Proportional to 105,223.22, 157,910.34 and 71,404.94

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Solution

The fourth proportional to 105,223.22, 157,910.34 and 71,404.94 is: 107,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223.22 : 157,910.34 = 71,404.94 : x
  2. Step 2: Convert to fraction form
    105,223.22/157,910.34 = 71,404.94/x
  3. Step 3: Cross multiply
    105,223.22x = 157,910.34 × 71,404.94
  4. Step 4: Simplify right side
    105,223.22x = 11,275,578,353.08
  5. Step 5: Solve for x
    x = 11,275,578,353.08/105,223.22
  6. Step 6: Final answer
    x = 107,158.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.