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Finding the Fourth Proportional to 221,102.40, 304,880.40 and 149,357.92

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Solution

The fourth proportional to 221,102.40, 304,880.40 and 149,357.92 is: 205,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,102.40 : 304,880.40 = 149,357.92 : x
  2. Step 2: Convert to fraction form
    221,102.40/304,880.40 = 149,357.92/x
  3. Step 3: Cross multiply
    221,102.40x = 304,880.40 × 149,357.92
  4. Step 4: Simplify right side
    221,102.40x = 45,536,302,392.77
  5. Step 5: Solve for x
    x = 45,536,302,392.77/221,102.40
  6. Step 6: Final answer
    x = 205,951.19

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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.