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Finding the Fourth Proportional to 165,143.80, 227,894.70 and 89,690.68

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Solution

The fourth proportional to 165,143.80, 227,894.70 and 89,690.68 is: 123,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,143.80 : 227,894.70 = 89,690.68 : x
  2. Step 2: Convert to fraction form
    165,143.80/227,894.70 = 89,690.68/x
  3. Step 3: Cross multiply
    165,143.80x = 227,894.70 × 89,690.68
  4. Step 4: Simplify right side
    165,143.80x = 20,440,030,611.40
  5. Step 5: Solve for x
    x = 20,440,030,611.40/165,143.80
  6. Step 6: Final answer
    x = 123,771.11

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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.