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Finding the Fourth Proportional to 165,969.52, 229,031 and 90,513.52

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Solution

The fourth proportional to 165,969.52, 229,031 and 90,513.52 is: 124,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969.52 : 229,031 = 90,513.52 : x
  2. Step 2: Convert to fraction form
    165,969.52/229,031 = 90,513.52/x
  3. Step 3: Cross multiply
    165,969.52x = 229,031 × 90,513.52
  4. Step 4: Simplify right side
    165,969.52x = 20,730,401,999.12
  5. Step 5: Solve for x
    x = 20,730,401,999.12/165,969.52
  6. Step 6: Final answer
    x = 124,904.87

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1.5x scale

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.