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Finding the Fourth Proportional to 133,257.76, 199,886.72 and 77,815.84

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Solution

The fourth proportional to 133,257.76, 199,886.72 and 77,815.84 is: 116,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,257.76 : 199,886.72 = 77,815.84 : x
  2. Step 2: Convert to fraction form
    133,257.76/199,886.72 = 77,815.84/x
  3. Step 3: Cross multiply
    133,257.76x = 199,886.72 × 77,815.84
  4. Step 4: Simplify right side
    133,257.76x = 15,554,353,021.64
  5. Step 5: Solve for x
    x = 15,554,353,021.64/133,257.76
  6. Step 6: Final answer
    x = 116,723.81

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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.