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Finding the Fourth Proportional to 100,530.45, 138,743.10 and 57,513.87

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Solution

The fourth proportional to 100,530.45, 138,743.10 and 57,513.87 is: 79,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,530.45 : 138,743.10 = 57,513.87 : x
  2. Step 2: Convert to fraction form
    100,530.45/138,743.10 = 57,513.87/x
  3. Step 3: Cross multiply
    100,530.45x = 138,743.10 × 57,513.87
  4. Step 4: Simplify right side
    100,530.45x = 7,979,652,616.80
  5. Step 5: Solve for x
    x = 7,979,652,616.80/100,530.45
  6. Step 6: Final answer
    x = 79,375.48

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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.