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Finding the Fourth Proportional to 165,806, 228,812.28 and 90,354.52

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Solution

The fourth proportional to 165,806, 228,812.28 and 90,354.52 is: 124,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,806 : 228,812.28 = 90,354.52 : x
  2. Step 2: Convert to fraction form
    165,806/228,812.28 = 90,354.52/x
  3. Step 3: Cross multiply
    165,806x = 228,812.28 × 90,354.52
  4. Step 4: Simplify right side
    165,806x = 20,674,223,729.51
  5. Step 5: Solve for x
    x = 20,674,223,729.51/165,806
  6. Step 6: Final answer
    x = 124,689.24

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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.