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Finding the Fourth Proportional to 65,736.90, 98,605.35 and 42,117.30

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Solution

The fourth proportional to 65,736.90, 98,605.35 and 42,117.30 is: 63,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,736.90 : 98,605.35 = 42,117.30 : x
  2. Step 2: Convert to fraction form
    65,736.90/98,605.35 = 42,117.30/x
  3. Step 3: Cross multiply
    65,736.90x = 98,605.35 × 42,117.30
  4. Step 4: Simplify right side
    65,736.90x = 4,152,991,107.56
  5. Step 5: Solve for x
    x = 4,152,991,107.56/65,736.90
  6. Step 6: Final answer
    x = 63,175.95

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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.