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Finding the Fourth Proportional to 100,210.72, 138,383.76 and 75,016.48

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Solution

The fourth proportional to 100,210.72, 138,383.76 and 75,016.48 is: 103,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,210.72 : 138,383.76 = 75,016.48 : x
  2. Step 2: Convert to fraction form
    100,210.72/138,383.76 = 75,016.48/x
  3. Step 3: Cross multiply
    100,210.72x = 138,383.76 × 75,016.48
  4. Step 4: Simplify right side
    100,210.72x = 10,381,062,564.36
  5. Step 5: Solve for x
    x = 10,381,062,564.36/100,210.72
  6. Step 6: Final answer
    x = 103,592.34

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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.