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Finding the Fourth Proportional to 100,257.02, 138,354.63 and 54,936.71

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Solution

The fourth proportional to 100,257.02, 138,354.63 and 54,936.71 is: 75,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257.02 : 138,354.63 = 54,936.71 : x
  2. Step 2: Convert to fraction form
    100,257.02/138,354.63 = 54,936.71/x
  3. Step 3: Cross multiply
    100,257.02x = 138,354.63 × 54,936.71
  4. Step 4: Simplify right side
    100,257.02x = 7,600,748,185.47
  5. Step 5: Solve for x
    x = 7,600,748,185.47/100,257.02
  6. Step 6: Final answer
    x = 75,812.63

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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.