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Finding the Fourth Proportional to 65,358.85, 98,029.02 and 20,979.76

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Solution

The fourth proportional to 65,358.85, 98,029.02 and 20,979.76 is: 31,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358.85 : 98,029.02 = 20,979.76 : x
  2. Step 2: Convert to fraction form
    65,358.85/98,029.02 = 20,979.76/x
  3. Step 3: Cross multiply
    65,358.85x = 98,029.02 × 20,979.76
  4. Step 4: Simplify right side
    65,358.85x = 2,056,625,312.64
  5. Step 5: Solve for x
    x = 2,056,625,312.64/65,358.85
  6. Step 6: Final answer
    x = 31,466.67

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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.