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Finding the Fourth Proportional to 137,109.94, 205,644.05 and 52,857.81

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Solution

The fourth proportional to 137,109.94, 205,644.05 and 52,857.81 is: 79,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,109.94 : 205,644.05 = 52,857.81 : x
  2. Step 2: Convert to fraction form
    137,109.94/205,644.05 = 52,857.81/x
  3. Step 3: Cross multiply
    137,109.94x = 205,644.05 × 52,857.81
  4. Step 4: Simplify right side
    137,109.94x = 10,869,894,122.53
  5. Step 5: Solve for x
    x = 10,869,894,122.53/137,109.94
  6. Step 6: Final answer
    x = 79,278.67

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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.