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Finding the Fourth Proportional to 137,505, 206,257.66 and 37,666.05

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Solution

The fourth proportional to 137,505, 206,257.66 and 37,666.05 is: 56,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,505 : 206,257.66 = 37,666.05 : x
  2. Step 2: Convert to fraction form
    137,505/206,257.66 = 37,666.05/x
  3. Step 3: Cross multiply
    137,505x = 206,257.66 × 37,666.05
  4. Step 4: Simplify right side
    137,505x = 7,768,912,225.62
  5. Step 5: Solve for x
    x = 7,768,912,225.62/137,505
  6. Step 6: Final answer
    x = 56,499.13

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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.