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Finding the Fourth Proportional to 65,668.50, 98,502.76 and 16,420.50

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Solution

The fourth proportional to 65,668.50, 98,502.76 and 16,420.50 is: 24,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,668.50 : 98,502.76 = 16,420.50 : x
  2. Step 2: Convert to fraction form
    65,668.50/98,502.76 = 16,420.50/x
  3. Step 3: Cross multiply
    65,668.50x = 98,502.76 × 16,420.50
  4. Step 4: Simplify right side
    65,668.50x = 1,617,464,570.58
  5. Step 5: Solve for x
    x = 1,617,464,570.58/65,668.50
  6. Step 6: Final answer
    x = 24,630.75

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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.