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Finding the Fourth Proportional to 100,904.25, 139,261.23 and 65,198.10

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Solution

The fourth proportional to 100,904.25, 139,261.23 and 65,198.10 is: 89,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904.25 : 139,261.23 = 65,198.10 : x
  2. Step 2: Convert to fraction form
    100,904.25/139,261.23 = 65,198.10/x
  3. Step 3: Cross multiply
    100,904.25x = 139,261.23 × 65,198.10
  4. Step 4: Simplify right side
    100,904.25x = 9,079,567,599.66
  5. Step 5: Solve for x
    x = 9,079,567,599.66/100,904.25
  6. Step 6: Final answer
    x = 89,982.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.