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Finding the Fourth Proportional to 131,816, 181,906.08 and 75,226.16

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Solution

The fourth proportional to 131,816, 181,906.08 and 75,226.16 is: 103,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,816 : 181,906.08 = 75,226.16 : x
  2. Step 2: Convert to fraction form
    131,816/181,906.08 = 75,226.16/x
  3. Step 3: Cross multiply
    131,816x = 181,906.08 × 75,226.16
  4. Step 4: Simplify right side
    131,816x = 13,684,095,879.05
  5. Step 5: Solve for x
    x = 13,684,095,879.05/131,816
  6. Step 6: Final answer
    x = 103,812.10

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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.