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Finding the Fourth Proportional to 100,294.47, 138,400.74 and 54,963.81

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Solution

The fourth proportional to 100,294.47, 138,400.74 and 54,963.81 is: 75,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.47 : 138,400.74 = 54,963.81 : x
  2. Step 2: Convert to fraction form
    100,294.47/138,400.74 = 54,963.81/x
  3. Step 3: Cross multiply
    100,294.47x = 138,400.74 × 54,963.81
  4. Step 4: Simplify right side
    100,294.47x = 7,607,031,977.22
  5. Step 5: Solve for x
    x = 7,607,031,977.22/100,294.47
  6. Step 6: Final answer
    x = 75,846.97

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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.