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Finding the Fourth Proportional to 205,655.94, 308,046.42 and 121,325.22

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Solution

The fourth proportional to 205,655.94, 308,046.42 and 121,325.22 is: 181,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,655.94 : 308,046.42 = 121,325.22 : x
  2. Step 2: Convert to fraction form
    205,655.94/308,046.42 = 121,325.22/x
  3. Step 3: Cross multiply
    205,655.94x = 308,046.42 × 121,325.22
  4. Step 4: Simplify right side
    205,655.94x = 37,373,799,676.71
  5. Step 5: Solve for x
    x = 37,373,799,676.71/205,655.94
  6. Step 6: Final answer
    x = 181,729.74

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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.