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Finding the Fourth Proportional to 65,133.20, 89,837.16 and 39,990.80

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Solution

The fourth proportional to 65,133.20, 89,837.16 and 39,990.80 is: 55,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133.20 : 89,837.16 = 39,990.80 : x
  2. Step 2: Convert to fraction form
    65,133.20/89,837.16 = 39,990.80/x
  3. Step 3: Cross multiply
    65,133.20x = 89,837.16 × 39,990.80
  4. Step 4: Simplify right side
    65,133.20x = 3,592,659,898.13
  5. Step 5: Solve for x
    x = 3,592,659,898.13/65,133.20
  6. Step 6: Final answer
    x = 55,158.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.