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Finding the Fourth Proportional to 89,231.85, 133,584.80 and 78,160.16

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Solution

The fourth proportional to 89,231.85, 133,584.80 and 78,160.16 is: 117,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,231.85 : 133,584.80 = 78,160.16 : x
  2. Step 2: Convert to fraction form
    89,231.85/133,584.80 = 78,160.16/x
  3. Step 3: Cross multiply
    89,231.85x = 133,584.80 × 78,160.16
  4. Step 4: Simplify right side
    89,231.85x = 10,441,009,284.73
  5. Step 5: Solve for x
    x = 10,441,009,284.73/89,231.85
  6. Step 6: Final answer
    x = 117,009.89

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1.5x scale

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.