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Finding the Fourth Proportional to 150,553.73, 207,764.16 and 83,485.73

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Solution

The fourth proportional to 150,553.73, 207,764.16 and 83,485.73 is: 115,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,553.73 : 207,764.16 = 83,485.73 : x
  2. Step 2: Convert to fraction form
    150,553.73/207,764.16 = 83,485.73/x
  3. Step 3: Cross multiply
    150,553.73x = 207,764.16 × 83,485.73
  4. Step 4: Simplify right side
    150,553.73x = 17,345,343,084.85
  5. Step 5: Solve for x
    x = 17,345,343,084.85/150,553.73
  6. Step 6: Final answer
    x = 115,210.32

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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.