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Finding the Fourth Proportional to 100,135.91, 138,187.44 and 54,813.48

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Solution

The fourth proportional to 100,135.91, 138,187.44 and 54,813.48 is: 75,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,135.91 : 138,187.44 = 54,813.48 : x
  2. Step 2: Convert to fraction form
    100,135.91/138,187.44 = 54,813.48/x
  3. Step 3: Cross multiply
    100,135.91x = 138,187.44 × 54,813.48
  4. Step 4: Simplify right side
    100,135.91x = 7,574,534,478.69
  5. Step 5: Solve for x
    x = 7,574,534,478.69/100,135.91
  6. Step 6: Final answer
    x = 75,642.54

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1.5x scale

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.