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Finding the Fourth Proportional to 137,908.90, 206,834.30 and 63,007.78

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Solution

The fourth proportional to 137,908.90, 206,834.30 and 63,007.78 is: 94,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,908.90 : 206,834.30 = 63,007.78 : x
  2. Step 2: Convert to fraction form
    137,908.90/206,834.30 = 63,007.78/x
  3. Step 3: Cross multiply
    137,908.90x = 206,834.30 × 63,007.78
  4. Step 4: Simplify right side
    137,908.90x = 13,032,170,070.85
  5. Step 5: Solve for x
    x = 13,032,170,070.85/137,908.90
  6. Step 6: Final answer
    x = 94,498.40

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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.