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Finding the Fourth Proportional to 150,388.48, 207,532.74 and 84,971.20

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Solution

The fourth proportional to 150,388.48, 207,532.74 and 84,971.20 is: 117,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,388.48 : 207,532.74 = 84,971.20 : x
  2. Step 2: Convert to fraction form
    150,388.48/207,532.74 = 84,971.20/x
  3. Step 3: Cross multiply
    150,388.48x = 207,532.74 × 84,971.20
  4. Step 4: Simplify right side
    150,388.48x = 17,634,305,957.09
  5. Step 5: Solve for x
    x = 17,634,305,957.09/150,388.48
  6. Step 6: Final answer
    x = 117,258.36

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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.