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Finding the Fourth Proportional to 100,710.25, 138,982.37 and 55,390.52

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Solution

The fourth proportional to 100,710.25, 138,982.37 and 55,390.52 is: 76,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,710.25 : 138,982.37 = 55,390.52 : x
  2. Step 2: Convert to fraction form
    100,710.25/138,982.37 = 55,390.52/x
  3. Step 3: Cross multiply
    100,710.25x = 138,982.37 × 55,390.52
  4. Step 4: Simplify right side
    100,710.25x = 7,698,305,815.64
  5. Step 5: Solve for x
    x = 7,698,305,815.64/100,710.25
  6. Step 6: Final answer
    x = 76,440.14

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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.