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Finding the Fourth Proportional to 165,806.50, 228,813 and 90,355

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Solution

The fourth proportional to 165,806.50, 228,813 and 90,355 is: 124,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,806.50 : 228,813 = 90,355 : x
  2. Step 2: Convert to fraction form
    165,806.50/228,813 = 90,355/x
  3. Step 3: Cross multiply
    165,806.50x = 228,813 × 90,355
  4. Step 4: Simplify right side
    165,806.50x = 20,674,398,615
  5. Step 5: Solve for x
    x = 20,674,398,615/165,806.50
  6. Step 6: Final answer
    x = 124,689.92

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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.