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Finding the Fourth Proportional to 100,659.28, 138,904.47 and 55,328.54

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Solution

The fourth proportional to 100,659.28, 138,904.47 and 55,328.54 is: 76,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,659.28 : 138,904.47 = 55,328.54 : x
  2. Step 2: Convert to fraction form
    100,659.28/138,904.47 = 55,328.54/x
  3. Step 3: Cross multiply
    100,659.28x = 138,904.47 × 55,328.54
  4. Step 4: Simplify right side
    100,659.28x = 7,685,382,002.06
  5. Step 5: Solve for x
    x = 7,685,382,002.06/100,659.28
  6. Step 6: Final answer
    x = 76,350.46

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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.