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Finding the Fourth Proportional to 165,306.54, 228,130.11 and 101,665.38

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Solution

The fourth proportional to 165,306.54, 228,130.11 and 101,665.38 is: 140,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,306.54 : 228,130.11 = 101,665.38 : x
  2. Step 2: Convert to fraction form
    165,306.54/228,130.11 = 101,665.38/x
  3. Step 3: Cross multiply
    165,306.54x = 228,130.11 × 101,665.38
  4. Step 4: Simplify right side
    165,306.54x = 23,192,934,322.59
  5. Step 5: Solve for x
    x = 23,192,934,322.59/165,306.54
  6. Step 6: Final answer
    x = 140,302.58

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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.