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Finding the Fourth Proportional to 221,544.32, 305,726.40 and 120,944

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Solution

The fourth proportional to 221,544.32, 305,726.40 and 120,944 is: 166,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,544.32 : 305,726.40 = 120,944 : x
  2. Step 2: Convert to fraction form
    221,544.32/305,726.40 = 120,944/x
  3. Step 3: Cross multiply
    221,544.32x = 305,726.40 × 120,944
  4. Step 4: Simplify right side
    221,544.32x = 36,975,773,721.60
  5. Step 5: Solve for x
    x = 36,975,773,721.60/221,544.32
  6. Step 6: Final answer
    x = 166,900.12

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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.