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Finding the Fourth Proportional to 65,597.12, 98,396.30 and 18,850

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Solution

The fourth proportional to 65,597.12, 98,396.30 and 18,850 is: 28,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,597.12 : 98,396.30 = 18,850 : x
  2. Step 2: Convert to fraction form
    65,597.12/98,396.30 = 18,850/x
  3. Step 3: Cross multiply
    65,597.12x = 98,396.30 × 18,850
  4. Step 4: Simplify right side
    65,597.12x = 1,854,770,255
  5. Step 5: Solve for x
    x = 1,854,770,255/65,597.12
  6. Step 6: Final answer
    x = 28,275.18

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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.