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Finding the Fourth Proportional to 159,141.16, 238,718.22 and 65,638

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Solution

The fourth proportional to 159,141.16, 238,718.22 and 65,638 is: 98,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,141.16 : 238,718.22 = 65,638 : x
  2. Step 2: Convert to fraction form
    159,141.16/238,718.22 = 65,638/x
  3. Step 3: Cross multiply
    159,141.16x = 238,718.22 × 65,638
  4. Step 4: Simplify right side
    159,141.16x = 15,668,986,524.36
  5. Step 5: Solve for x
    x = 15,668,986,524.36/159,141.16
  6. Step 6: Final answer
    x = 98,459.67

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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.