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Finding the Fourth Proportional to 65,786.36, 98,689.88 and 28,357.07

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Solution

The fourth proportional to 65,786.36, 98,689.88 and 28,357.07 is: 42,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,786.36 : 98,689.88 = 28,357.07 : x
  2. Step 2: Convert to fraction form
    65,786.36/98,689.88 = 28,357.07/x
  3. Step 3: Cross multiply
    65,786.36x = 98,689.88 × 28,357.07
  4. Step 4: Simplify right side
    65,786.36x = 2,798,555,412.89
  5. Step 5: Solve for x
    x = 2,798,555,412.89/65,786.36
  6. Step 6: Final answer
    x = 42,540.06

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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.