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Finding the Fourth Proportional to 137,199.85, 205,649.64 and 70,643.97

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Solution

The fourth proportional to 137,199.85, 205,649.64 and 70,643.97 is: 105,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,199.85 : 205,649.64 = 70,643.97 : x
  2. Step 2: Convert to fraction form
    137,199.85/205,649.64 = 70,643.97/x
  3. Step 3: Cross multiply
    137,199.85x = 205,649.64 × 70,643.97
  4. Step 4: Simplify right side
    137,199.85x = 14,527,906,998.67
  5. Step 5: Solve for x
    x = 14,527,906,998.67/137,199.85
  6. Step 6: Final answer
    x = 105,888.65

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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.