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Finding the Fourth Proportional to 221,013.02, 304,998 and 120,411.02

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Solution

The fourth proportional to 221,013.02, 304,998 and 120,411.02 is: 166,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,013.02 : 304,998 = 120,411.02 : x
  2. Step 2: Convert to fraction form
    221,013.02/304,998 = 120,411.02/x
  3. Step 3: Cross multiply
    221,013.02x = 304,998 × 120,411.02
  4. Step 4: Simplify right side
    221,013.02x = 36,725,120,277.96
  5. Step 5: Solve for x
    x = 36,725,120,277.96/221,013.02
  6. Step 6: Final answer
    x = 166,167.23

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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.