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Finding the Fourth Proportional to 150,642.13, 207,884.34 and 86,978.56

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Solution

The fourth proportional to 150,642.13, 207,884.34 and 86,978.56 is: 120,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642.13 : 207,884.34 = 86,978.56 : x
  2. Step 2: Convert to fraction form
    150,642.13/207,884.34 = 86,978.56/x
  3. Step 3: Cross multiply
    150,642.13x = 207,884.34 × 86,978.56
  4. Step 4: Simplify right side
    150,642.13x = 18,081,480,539.75
  5. Step 5: Solve for x
    x = 18,081,480,539.75/150,642.13
  6. Step 6: Final answer
    x = 120,029.37

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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.