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Finding the Fourth Proportional to 100,589.58, 138,821.04 and 66,539.25

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Solution

The fourth proportional to 100,589.58, 138,821.04 and 66,539.25 is: 91,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589.58 : 138,821.04 = 66,539.25 : x
  2. Step 2: Convert to fraction form
    100,589.58/138,821.04 = 66,539.25/x
  3. Step 3: Cross multiply
    100,589.58x = 138,821.04 × 66,539.25
  4. Step 4: Simplify right side
    100,589.58x = 9,237,047,885.82
  5. Step 5: Solve for x
    x = 9,237,047,885.82/100,589.58
  6. Step 6: Final answer
    x = 91,829.07

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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.