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Finding the Fourth Proportional to 221,921.02, 306,251.01 and 121,319.02

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Solution

The fourth proportional to 221,921.02, 306,251.01 and 121,319.02 is: 167,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,921.02 : 306,251.01 = 121,319.02 : x
  2. Step 2: Convert to fraction form
    221,921.02/306,251.01 = 121,319.02/x
  3. Step 3: Cross multiply
    221,921.02x = 306,251.01 × 121,319.02
  4. Step 4: Simplify right side
    221,921.02x = 37,154,072,407.21
  5. Step 5: Solve for x
    x = 37,154,072,407.21/221,921.02
  6. Step 6: Final answer
    x = 167,420.25

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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.