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Finding the Fourth Proportional to 133,768.86, 200,636.88 and 77,639.50

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Solution

The fourth proportional to 133,768.86, 200,636.88 and 77,639.50 is: 116,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,768.86 : 200,636.88 = 77,639.50 : x
  2. Step 2: Convert to fraction form
    133,768.86/200,636.88 = 77,639.50/x
  3. Step 3: Cross multiply
    133,768.86x = 200,636.88 × 77,639.50
  4. Step 4: Simplify right side
    133,768.86x = 15,577,347,044.76
  5. Step 5: Solve for x
    x = 15,577,347,044.76/133,768.86
  6. Step 6: Final answer
    x = 116,449.73

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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.