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Finding the Fourth Proportional to 100,029.60, 138,035.28 and 54,698.56

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Solution

The fourth proportional to 100,029.60, 138,035.28 and 54,698.56 is: 75,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.60 : 138,035.28 = 54,698.56 : x
  2. Step 2: Convert to fraction form
    100,029.60/138,035.28 = 54,698.56/x
  3. Step 3: Cross multiply
    100,029.60x = 138,035.28 × 54,698.56
  4. Step 4: Simplify right side
    100,029.60x = 7,550,331,045.20
  5. Step 5: Solve for x
    x = 7,550,331,045.20/100,029.60
  6. Step 6: Final answer
    x = 75,480.97

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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.