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Finding the Fourth Proportional to 65,170.65, 89,928.06 and 36,486.32

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Solution

The fourth proportional to 65,170.65, 89,928.06 and 36,486.32 is: 50,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170.65 : 89,928.06 = 36,486.32 : x
  2. Step 2: Convert to fraction form
    65,170.65/89,928.06 = 36,486.32/x
  3. Step 3: Cross multiply
    65,170.65x = 89,928.06 × 36,486.32
  4. Step 4: Simplify right side
    65,170.65x = 3,281,143,724.91
  5. Step 5: Solve for x
    x = 3,281,143,724.91/65,170.65
  6. Step 6: Final answer
    x = 50,346.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.