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Finding the Fourth Proportional to 165,462, 228,336.64 and 90,010.48

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Solution

The fourth proportional to 165,462, 228,336.64 and 90,010.48 is: 124,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,462 : 228,336.64 = 90,010.48 : x
  2. Step 2: Convert to fraction form
    165,462/228,336.64 = 90,010.48/x
  3. Step 3: Cross multiply
    165,462x = 228,336.64 × 90,010.48
  4. Step 4: Simplify right side
    165,462x = 20,552,690,567.99
  5. Step 5: Solve for x
    x = 20,552,690,567.99/165,462
  6. Step 6: Final answer
    x = 124,213.96

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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.