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Finding the Fourth Proportional to 100,172.99, 138,238.94 and 54,233.10

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Solution

The fourth proportional to 100,172.99, 138,238.94 and 54,233.10 is: 74,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,172.99 : 138,238.94 = 54,233.10 : x
  2. Step 2: Convert to fraction form
    100,172.99/138,238.94 = 54,233.10/x
  3. Step 3: Cross multiply
    100,172.99x = 138,238.94 × 54,233.10
  4. Step 4: Simplify right side
    100,172.99x = 7,497,125,985.75
  5. Step 5: Solve for x
    x = 7,497,125,985.75/100,172.99
  6. Step 6: Final answer
    x = 74,841.79

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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.