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Finding the Fourth Proportional to 165,873.78, 228,840.84 and 102,100.86

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Solution

The fourth proportional to 165,873.78, 228,840.84 and 102,100.86 is: 140,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,873.78 : 228,840.84 = 102,100.86 : x
  2. Step 2: Convert to fraction form
    165,873.78/228,840.84 = 102,100.86/x
  3. Step 3: Cross multiply
    165,873.78x = 228,840.84 × 102,100.86
  4. Step 4: Simplify right side
    165,873.78x = 23,364,846,567.12
  5. Step 5: Solve for x
    x = 23,364,846,567.12/165,873.78
  6. Step 6: Final answer
    x = 140,859.19

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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.