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Finding the Fourth Proportional to 165,534.38, 228,421.64 and 92,920.64

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Solution

The fourth proportional to 165,534.38, 228,421.64 and 92,920.64 is: 128,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,534.38 : 228,421.64 = 92,920.64 : x
  2. Step 2: Convert to fraction form
    165,534.38/228,421.64 = 92,920.64/x
  3. Step 3: Cross multiply
    165,534.38x = 228,421.64 × 92,920.64
  4. Step 4: Simplify right side
    165,534.38x = 21,225,084,978.65
  5. Step 5: Solve for x
    x = 21,225,084,978.65/165,534.38
  6. Step 6: Final answer
    x = 128,221.61

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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.