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Finding the Fourth Proportional to 137,891.85, 206,722.95 and 53,632.22

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Solution

The fourth proportional to 137,891.85, 206,722.95 and 53,632.22 is: 80,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,891.85 : 206,722.95 = 53,632.22 : x
  2. Step 2: Convert to fraction form
    137,891.85/206,722.95 = 53,632.22/x
  3. Step 3: Cross multiply
    137,891.85x = 206,722.95 × 53,632.22
  4. Step 4: Simplify right side
    137,891.85x = 11,087,009,699.83
  5. Step 5: Solve for x
    x = 11,087,009,699.83/137,891.85
  6. Step 6: Final answer
    x = 80,403.66

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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.