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Finding the Fourth Proportional to 100,345.74, 150,223.34 and 66,983.05

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Solution

The fourth proportional to 100,345.74, 150,223.34 and 66,983.05 is: 100,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,345.74 : 150,223.34 = 66,983.05 : x
  2. Step 2: Convert to fraction form
    100,345.74/150,223.34 = 66,983.05/x
  3. Step 3: Cross multiply
    100,345.74x = 150,223.34 × 66,983.05
  4. Step 4: Simplify right side
    100,345.74x = 10,062,417,494.39
  5. Step 5: Solve for x
    x = 10,062,417,494.39/100,345.74
  6. Step 6: Final answer
    x = 100,277.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.