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Finding the Fourth Proportional to 137,821.21, 206,455.01 and 62,838.21

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Solution

The fourth proportional to 137,821.21, 206,455.01 and 62,838.21 is: 94,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,821.21 : 206,455.01 = 62,838.21 : x
  2. Step 2: Convert to fraction form
    137,821.21/206,455.01 = 62,838.21/x
  3. Step 3: Cross multiply
    137,821.21x = 206,455.01 × 62,838.21
  4. Step 4: Simplify right side
    137,821.21x = 12,973,263,273.93
  5. Step 5: Solve for x
    x = 12,973,263,273.93/137,821.21
  6. Step 6: Final answer
    x = 94,131.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.