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Finding the Fourth Proportional to 205,652.40, 308,284.20 and 121,477.20

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Solution

The fourth proportional to 205,652.40, 308,284.20 and 121,477.20 is: 182,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,652.40 : 308,284.20 = 121,477.20 : x
  2. Step 2: Convert to fraction form
    205,652.40/308,284.20 = 121,477.20/x
  3. Step 3: Cross multiply
    205,652.40x = 308,284.20 × 121,477.20
  4. Step 4: Simplify right side
    205,652.40x = 37,449,501,420.24
  5. Step 5: Solve for x
    x = 37,449,501,420.24/205,652.40
  6. Step 6: Final answer
    x = 182,100.97

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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.