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Finding the Fourth Proportional to 221,760, 306,035.52 and 121,164.48

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Solution

The fourth proportional to 221,760, 306,035.52 and 121,164.48 is: 167,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,760 : 306,035.52 = 121,164.48 : x
  2. Step 2: Convert to fraction form
    221,760/306,035.52 = 121,164.48/x
  3. Step 3: Cross multiply
    221,760x = 306,035.52 × 121,164.48
  4. Step 4: Simplify right side
    221,760x = 37,080,634,642.33
  5. Step 5: Solve for x
    x = 37,080,634,642.33/221,760
  6. Step 6: Final answer
    x = 167,210.65

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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.