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Finding the Fourth Proportional to 100,369.24, 138,511 and 55,051.56

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Solution

The fourth proportional to 100,369.24, 138,511 and 55,051.56 is: 75,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,369.24 : 138,511 = 55,051.56 : x
  2. Step 2: Convert to fraction form
    100,369.24/138,511 = 55,051.56/x
  3. Step 3: Cross multiply
    100,369.24x = 138,511 × 55,051.56
  4. Step 4: Simplify right side
    100,369.24x = 7,625,246,627.16
  5. Step 5: Solve for x
    x = 7,625,246,627.16/100,369.24
  6. Step 6: Final answer
    x = 75,971.95

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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.