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Finding the Fourth Proportional to 100,705.52, 138,974.88 and 55,388.48

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Solution

The fourth proportional to 100,705.52, 138,974.88 and 55,388.48 is: 76,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.52 : 138,974.88 = 55,388.48 : x
  2. Step 2: Convert to fraction form
    100,705.52/138,974.88 = 55,388.48/x
  3. Step 3: Cross multiply
    100,705.52x = 138,974.88 × 55,388.48
  4. Step 4: Simplify right side
    100,705.52x = 7,697,607,361.38
  5. Step 5: Solve for x
    x = 7,697,607,361.38/100,705.52
  6. Step 6: Final answer
    x = 76,436.80

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1.5x scale

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.