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Finding the Fourth Proportional to 100,597.60, 138,824 and 55,276.06

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Solution

The fourth proportional to 100,597.60, 138,824 and 55,276.06 is: 76,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597.60 : 138,824 = 55,276.06 : x
  2. Step 2: Convert to fraction form
    100,597.60/138,824 = 55,276.06/x
  3. Step 3: Cross multiply
    100,597.60x = 138,824 × 55,276.06
  4. Step 4: Simplify right side
    100,597.60x = 7,673,643,753.44
  5. Step 5: Solve for x
    x = 7,673,643,753.44/100,597.60
  6. Step 6: Final answer
    x = 76,280.58

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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.