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Finding the Fourth Proportional to 100,367.84, 138,497.64 and 57,940.04

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Solution

The fourth proportional to 100,367.84, 138,497.64 and 57,940.04 is: 79,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,367.84 : 138,497.64 = 57,940.04 : x
  2. Step 2: Convert to fraction form
    100,367.84/138,497.64 = 57,940.04/x
  3. Step 3: Cross multiply
    100,367.84x = 138,497.64 × 57,940.04
  4. Step 4: Simplify right side
    100,367.84x = 8,024,558,801.51
  5. Step 5: Solve for x
    x = 8,024,558,801.51/100,367.84
  6. Step 6: Final answer
    x = 79,951.49

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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.