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Finding the Fourth Proportional to 65,150.48, 97,714.20 and 18,390.80

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Solution

The fourth proportional to 65,150.48, 97,714.20 and 18,390.80 is: 27,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,150.48 : 97,714.20 = 18,390.80 : x
  2. Step 2: Convert to fraction form
    65,150.48/97,714.20 = 18,390.80/x
  3. Step 3: Cross multiply
    65,150.48x = 97,714.20 × 18,390.80
  4. Step 4: Simplify right side
    65,150.48x = 1,797,042,309.36
  5. Step 5: Solve for x
    x = 1,797,042,309.36/65,150.48
  6. Step 6: Final answer
    x = 27,582.95

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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.