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Finding the Fourth Proportional to 100,389.32, 138,539.88 and 55,069.28

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Solution

The fourth proportional to 100,389.32, 138,539.88 and 55,069.28 is: 75,997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,389.32 : 138,539.88 = 55,069.28 : x
  2. Step 2: Convert to fraction form
    100,389.32/138,539.88 = 55,069.28/x
  3. Step 3: Cross multiply
    100,389.32x = 138,539.88 × 55,069.28
  4. Step 4: Simplify right side
    100,389.32x = 7,629,291,442.89
  5. Step 5: Solve for x
    x = 7,629,291,442.89/100,389.32
  6. Step 6: Final answer
    x = 75,997.04

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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.