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Finding the Fourth Proportional to 100,698.30, 150,874.65 and 65,619.90

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Solution

The fourth proportional to 100,698.30, 150,874.65 and 65,619.90 is: 98,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698.30 : 150,874.65 = 65,619.90 : x
  2. Step 2: Convert to fraction form
    100,698.30/150,874.65 = 65,619.90/x
  3. Step 3: Cross multiply
    100,698.30x = 150,874.65 × 65,619.90
  4. Step 4: Simplify right side
    100,698.30x = 9,900,379,445.54
  5. Step 5: Solve for x
    x = 9,900,379,445.54/100,698.30
  6. Step 6: Final answer
    x = 98,317.25

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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.