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Finding the Fourth Proportional to 221,042.52, 305,038.71 and 120,440.52

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Solution

The fourth proportional to 221,042.52, 305,038.71 and 120,440.52 is: 166,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,042.52 : 305,038.71 = 120,440.52 : x
  2. Step 2: Convert to fraction form
    221,042.52/305,038.71 = 120,440.52/x
  3. Step 3: Cross multiply
    221,042.52x = 305,038.71 × 120,440.52
  4. Step 4: Simplify right side
    221,042.52x = 36,739,020,852.53
  5. Step 5: Solve for x
    x = 36,739,020,852.53/221,042.52
  6. Step 6: Final answer
    x = 166,207.94

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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.