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Finding the Fourth Proportional to 165,744.65, 228,721.52 and 101,321.79

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Solution

The fourth proportional to 165,744.65, 228,721.52 and 101,321.79 is: 139,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,744.65 : 228,721.52 = 101,321.79 : x
  2. Step 2: Convert to fraction form
    165,744.65/228,721.52 = 101,321.79/x
  3. Step 3: Cross multiply
    165,744.65x = 228,721.52 × 101,321.79
  4. Step 4: Simplify right side
    165,744.65x = 23,174,473,311.31
  5. Step 5: Solve for x
    x = 23,174,473,311.31/165,744.65
  6. Step 6: Final answer
    x = 139,820.34

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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.