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Finding the Fourth Proportional to 65,600.12, 98,400.80 and 18,853

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Solution

The fourth proportional to 65,600.12, 98,400.80 and 18,853 is: 28,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,600.12 : 98,400.80 = 18,853 : x
  2. Step 2: Convert to fraction form
    65,600.12/98,400.80 = 18,853/x
  3. Step 3: Cross multiply
    65,600.12x = 98,400.80 × 18,853
  4. Step 4: Simplify right side
    65,600.12x = 1,855,150,282.40
  5. Step 5: Solve for x
    x = 1,855,150,282.40/65,600.12
  6. Step 6: Final answer
    x = 28,279.68

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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.