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Finding the Fourth Proportional to 185,174.40, 255,539.40 and 100,289.76

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Solution

The fourth proportional to 185,174.40, 255,539.40 and 100,289.76 is: 138,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,174.40 : 255,539.40 = 100,289.76 : x
  2. Step 2: Convert to fraction form
    185,174.40/255,539.40 = 100,289.76/x
  3. Step 3: Cross multiply
    185,174.40x = 255,539.40 × 100,289.76
  4. Step 4: Simplify right side
    185,174.40x = 25,627,985,096.54
  5. Step 5: Solve for x
    x = 25,627,985,096.54/185,174.40
  6. Step 6: Final answer
    x = 138,399.18

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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.