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Finding the Fourth Proportional to 133,820.16, 200,748.60 and 77,686.62

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Solution

The fourth proportional to 133,820.16, 200,748.60 and 77,686.62 is: 116,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.16 : 200,748.60 = 77,686.62 : x
  2. Step 2: Convert to fraction form
    133,820.16/200,748.60 = 77,686.62/x
  3. Step 3: Cross multiply
    133,820.16x = 200,748.60 × 77,686.62
  4. Step 4: Simplify right side
    133,820.16x = 15,595,480,203.73
  5. Step 5: Solve for x
    x = 15,595,480,203.73/133,820.16
  6. Step 6: Final answer
    x = 116,540.59

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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.