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Finding the Fourth Proportional to 137,855.30, 206,904.45 and 81,625.10

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Solution

The fourth proportional to 137,855.30, 206,904.45 and 81,625.10 is: 122,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,855.30 : 206,904.45 = 81,625.10 : x
  2. Step 2: Convert to fraction form
    137,855.30/206,904.45 = 81,625.10/x
  3. Step 3: Cross multiply
    137,855.30x = 206,904.45 × 81,625.10
  4. Step 4: Simplify right side
    137,855.30x = 16,888,596,421.70
  5. Step 5: Solve for x
    x = 16,888,596,421.70/137,855.30
  6. Step 6: Final answer
    x = 122,509.59

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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.