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Finding the Fourth Proportional to 165,309.50, 228,127.92 and 89,858

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Solution

The fourth proportional to 165,309.50, 228,127.92 and 89,858 is: 124,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,309.50 : 228,127.92 = 89,858 : x
  2. Step 2: Convert to fraction form
    165,309.50/228,127.92 = 89,858/x
  3. Step 3: Cross multiply
    165,309.50x = 228,127.92 × 89,858
  4. Step 4: Simplify right side
    165,309.50x = 20,499,118,635.36
  5. Step 5: Solve for x
    x = 20,499,118,635.36/165,309.50
  6. Step 6: Final answer
    x = 124,004.48

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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.