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Finding the Fourth Proportional to 65,809, 98,723.76 and 21,425.28

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Solution

The fourth proportional to 65,809, 98,723.76 and 21,425.28 is: 32,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809 : 98,723.76 = 21,425.28 : x
  2. Step 2: Convert to fraction form
    65,809/98,723.76 = 21,425.28/x
  3. Step 3: Cross multiply
    65,809x = 98,723.76 × 21,425.28
  4. Step 4: Simplify right side
    65,809x = 2,115,184,200.65
  5. Step 5: Solve for x
    x = 2,115,184,200.65/65,809
  6. Step 6: Final answer
    x = 32,141.26

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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.