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Finding the Fourth Proportional to 136,613.40, 204,920.10 and 77,564.40

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Solution

The fourth proportional to 136,613.40, 204,920.10 and 77,564.40 is: 116,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,613.40 : 204,920.10 = 77,564.40 : x
  2. Step 2: Convert to fraction form
    136,613.40/204,920.10 = 77,564.40/x
  3. Step 3: Cross multiply
    136,613.40x = 204,920.10 × 77,564.40
  4. Step 4: Simplify right side
    136,613.40x = 15,894,504,604.44
  5. Step 5: Solve for x
    x = 15,894,504,604.44/136,613.40
  6. Step 6: Final answer
    x = 116,346.60

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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.