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Finding the Fourth Proportional to 165,727, 228,695.06 and 101,121.70

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Solution

The fourth proportional to 165,727, 228,695.06 and 101,121.70 is: 139,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,727 : 228,695.06 = 101,121.70 : x
  2. Step 2: Convert to fraction form
    165,727/228,695.06 = 101,121.70/x
  3. Step 3: Cross multiply
    165,727x = 228,695.06 × 101,121.70
  4. Step 4: Simplify right side
    165,727x = 23,126,033,248.80
  5. Step 5: Solve for x
    x = 23,126,033,248.80/165,727
  6. Step 6: Final answer
    x = 139,542.94

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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.