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Finding the Fourth Proportional to 133,830.40, 200,682.05 and 77,687.72

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Solution

The fourth proportional to 133,830.40, 200,682.05 and 77,687.72 is: 116,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,830.40 : 200,682.05 = 77,687.72 : x
  2. Step 2: Convert to fraction form
    133,830.40/200,682.05 = 77,687.72/x
  3. Step 3: Cross multiply
    133,830.40x = 200,682.05 × 77,687.72
  4. Step 4: Simplify right side
    133,830.40x = 15,590,530,909.43
  5. Step 5: Solve for x
    x = 15,590,530,909.43/133,830.40
  6. Step 6: Final answer
    x = 116,494.69

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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.