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Finding the Fourth Proportional to 221,141.79, 304,934.51 and 149,397.24

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Solution

The fourth proportional to 221,141.79, 304,934.51 and 149,397.24 is: 206,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,141.79 : 304,934.51 = 149,397.24 : x
  2. Step 2: Convert to fraction form
    221,141.79/304,934.51 = 149,397.24/x
  3. Step 3: Cross multiply
    221,141.79x = 304,934.51 × 149,397.24
  4. Step 4: Simplify right side
    221,141.79x = 45,556,373,427.77
  5. Step 5: Solve for x
    x = 45,556,373,427.77/221,141.79
  6. Step 6: Final answer
    x = 206,005.27

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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.