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Finding the Fourth Proportional to 65,407, 98,111.44 and 18,659.88

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Solution

The fourth proportional to 65,407, 98,111.44 and 18,659.88 is: 27,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407 : 98,111.44 = 18,659.88 : x
  2. Step 2: Convert to fraction form
    65,407/98,111.44 = 18,659.88/x
  3. Step 3: Cross multiply
    65,407x = 98,111.44 × 18,659.88
  4. Step 4: Simplify right side
    65,407x = 1,830,747,697.03
  5. Step 5: Solve for x
    x = 1,830,747,697.03/65,407
  6. Step 6: Final answer
    x = 27,990.09

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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.