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Finding the Fourth Proportional to 221,904, 306,227.52 and 121,302.72

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Solution

The fourth proportional to 221,904, 306,227.52 and 121,302.72 is: 167,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,904 : 306,227.52 = 121,302.72 : x
  2. Step 2: Convert to fraction form
    221,904/306,227.52 = 121,302.72/x
  3. Step 3: Cross multiply
    221,904x = 306,227.52 × 121,302.72
  4. Step 4: Simplify right side
    221,904x = 37,146,231,114.85
  5. Step 5: Solve for x
    x = 37,146,231,114.85/221,904
  6. Step 6: Final answer
    x = 167,397.75

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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.