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Finding the Fourth Proportional to 65,976.13, 98,978.24 and 19,225.09

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Solution

The fourth proportional to 65,976.13, 98,978.24 and 19,225.09 is: 28,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976.13 : 98,978.24 = 19,225.09 : x
  2. Step 2: Convert to fraction form
    65,976.13/98,978.24 = 19,225.09/x
  3. Step 3: Cross multiply
    65,976.13x = 98,978.24 × 19,225.09
  4. Step 4: Simplify right side
    65,976.13x = 1,902,865,572.04
  5. Step 5: Solve for x
    x = 1,902,865,572.04/65,976.13
  6. Step 6: Final answer
    x = 28,841.73

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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.