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Finding the Fourth Proportional to 185,151.84, 255,509.01 and 100,268.70

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Solution

The fourth proportional to 185,151.84, 255,509.01 and 100,268.70 is: 138,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,151.84 : 255,509.01 = 100,268.70 : x
  2. Step 2: Convert to fraction form
    185,151.84/255,509.01 = 100,268.70/x
  3. Step 3: Cross multiply
    185,151.84x = 255,509.01 × 100,268.70
  4. Step 4: Simplify right side
    185,151.84x = 25,619,556,270.99
  5. Step 5: Solve for x
    x = 25,619,556,270.99/185,151.84
  6. Step 6: Final answer
    x = 138,370.52

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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.