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Finding the Fourth Proportional to 65,809.21, 98,724.13 and 28,379.92

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Solution

The fourth proportional to 65,809.21, 98,724.13 and 28,379.92 is: 42,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809.21 : 98,724.13 = 28,379.92 : x
  2. Step 2: Convert to fraction form
    65,809.21/98,724.13 = 28,379.92/x
  3. Step 3: Cross multiply
    65,809.21x = 98,724.13 × 28,379.92
  4. Step 4: Simplify right side
    65,809.21x = 2,801,782,417.85
  5. Step 5: Solve for x
    x = 2,801,782,417.85/65,809.21
  6. Step 6: Final answer
    x = 42,574.32

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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.