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Finding the Fourth Proportional to 65,712, 98,568 and 18,958.08

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Solution

The fourth proportional to 65,712, 98,568 and 18,958.08 is: 28,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712 : 98,568 = 18,958.08 : x
  2. Step 2: Convert to fraction form
    65,712/98,568 = 18,958.08/x
  3. Step 3: Cross multiply
    65,712x = 98,568 × 18,958.08
  4. Step 4: Simplify right side
    65,712x = 1,868,660,029.44
  5. Step 5: Solve for x
    x = 1,868,660,029.44/65,712
  6. Step 6: Final answer
    x = 28,437.12

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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.