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Finding the Fourth Proportional to 65,990.66, 98,938.98 and 30,911.18

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Solution

The fourth proportional to 65,990.66, 98,938.98 and 30,911.18 is: 46,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,990.66 : 98,938.98 = 30,911.18 : x
  2. Step 2: Convert to fraction form
    65,990.66/98,938.98 = 30,911.18/x
  3. Step 3: Cross multiply
    65,990.66x = 98,938.98 × 30,911.18
  4. Step 4: Simplify right side
    65,990.66x = 3,058,320,619.80
  5. Step 5: Solve for x
    x = 3,058,320,619.80/65,990.66
  6. Step 6: Final answer
    x = 46,344.75

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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.