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Finding the Fourth Proportional to 206,085, 308,918.36 and 117,154.76

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Solution

The fourth proportional to 206,085, 308,918.36 and 117,154.76 is: 175,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,085 : 308,918.36 = 117,154.76 : x
  2. Step 2: Convert to fraction form
    206,085/308,918.36 = 117,154.76/x
  3. Step 3: Cross multiply
    206,085x = 308,918.36 × 117,154.76
  4. Step 4: Simplify right side
    206,085x = 36,191,256,325.39
  5. Step 5: Solve for x
    x = 36,191,256,325.39/206,085
  6. Step 6: Final answer
    x = 175,613.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.