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Finding the Fourth Proportional to 221,701.32, 305,857.22 and 163,697.06

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Solution

The fourth proportional to 221,701.32, 305,857.22 and 163,697.06 is: 225,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,701.32 : 305,857.22 = 163,697.06 : x
  2. Step 2: Convert to fraction form
    221,701.32/305,857.22 = 163,697.06/x
  3. Step 3: Cross multiply
    221,701.32x = 305,857.22 × 163,697.06
  4. Step 4: Simplify right side
    221,701.32x = 50,067,927,693.77
  5. Step 5: Solve for x
    x = 50,067,927,693.77/221,701.32
  6. Step 6: Final answer
    x = 225,835.05

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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.