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Finding the Fourth Proportional to 181,200.50, 250,056.78 and 100,641.14

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Solution

The fourth proportional to 181,200.50, 250,056.78 and 100,641.14 is: 138,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,200.50 : 250,056.78 = 100,641.14 : x
  2. Step 2: Convert to fraction form
    181,200.50/250,056.78 = 100,641.14/x
  3. Step 3: Cross multiply
    181,200.50x = 250,056.78 × 100,641.14
  4. Step 4: Simplify right side
    181,200.50x = 25,165,999,403.93
  5. Step 5: Solve for x
    x = 25,165,999,403.93/181,200.50
  6. Step 6: Final answer
    x = 138,884.82

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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.