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Finding the Fourth Proportional to 65,246.85, 97,842.69 and 20,861.64

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Solution

The fourth proportional to 65,246.85, 97,842.69 and 20,861.64 is: 31,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,246.85 : 97,842.69 = 20,861.64 : x
  2. Step 2: Convert to fraction form
    65,246.85/97,842.69 = 20,861.64/x
  3. Step 3: Cross multiply
    65,246.85x = 97,842.69 × 20,861.64
  4. Step 4: Simplify right side
    65,246.85x = 2,041,158,975.41
  5. Step 5: Solve for x
    x = 2,041,158,975.41/65,246.85
  6. Step 6: Final answer
    x = 31,283.64

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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.