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Finding the Fourth Proportional to 136,412.46, 188,197.02 and 85,404.06

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Solution

The fourth proportional to 136,412.46, 188,197.02 and 85,404.06 is: 117,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,412.46 : 188,197.02 = 85,404.06 : x
  2. Step 2: Convert to fraction form
    136,412.46/188,197.02 = 85,404.06/x
  3. Step 3: Cross multiply
    136,412.46x = 188,197.02 × 85,404.06
  4. Step 4: Simplify right side
    136,412.46x = 16,072,789,587.90
  5. Step 5: Solve for x
    x = 16,072,789,587.90/136,412.46
  6. Step 6: Final answer
    x = 117,824.94

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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.