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Finding the Fourth Proportional to 65,785.42, 98,679.34 and 21,412

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Solution

The fourth proportional to 65,785.42, 98,679.34 and 21,412 is: 32,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,785.42 : 98,679.34 = 21,412 : x
  2. Step 2: Convert to fraction form
    65,785.42/98,679.34 = 21,412/x
  3. Step 3: Cross multiply
    65,785.42x = 98,679.34 × 21,412
  4. Step 4: Simplify right side
    65,785.42x = 2,112,922,028.08
  5. Step 5: Solve for x
    x = 2,112,922,028.08/65,785.42
  6. Step 6: Final answer
    x = 32,118.39

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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.