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Finding the Fourth Proportional to 137,490.56, 206,302.08 and 70,933.76

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Solution

The fourth proportional to 137,490.56, 206,302.08 and 70,933.76 is: 106,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,490.56 : 206,302.08 = 70,933.76 : x
  2. Step 2: Convert to fraction form
    137,490.56/206,302.08 = 70,933.76/x
  3. Step 3: Cross multiply
    137,490.56x = 206,302.08 × 70,933.76
  4. Step 4: Simplify right side
    137,490.56x = 14,633,782,230.22
  5. Step 5: Solve for x
    x = 14,633,782,230.22/137,490.56
  6. Step 6: Final answer
    x = 106,434.81

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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.