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Finding the Fourth Proportional to 65,785.40, 98,679 and 21,412.34

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Solution

The fourth proportional to 65,785.40, 98,679 and 21,412.34 is: 32,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,785.40 : 98,679 = 21,412.34 : x
  2. Step 2: Convert to fraction form
    65,785.40/98,679 = 21,412.34/x
  3. Step 3: Cross multiply
    65,785.40x = 98,679 × 21,412.34
  4. Step 4: Simplify right side
    65,785.40x = 2,112,948,298.86
  5. Step 5: Solve for x
    x = 2,112,948,298.86/65,785.40
  6. Step 6: Final answer
    x = 32,118.80

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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.