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Finding the Fourth Proportional to 137,518.56, 206,278.02 and 37,679.63

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Solution

The fourth proportional to 137,518.56, 206,278.02 and 37,679.63 is: 56,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,518.56 : 206,278.02 = 37,679.63 : x
  2. Step 2: Convert to fraction form
    137,518.56/206,278.02 = 37,679.63/x
  3. Step 3: Cross multiply
    137,518.56x = 206,278.02 × 37,679.63
  4. Step 4: Simplify right side
    137,518.56x = 7,772,478,439.34
  5. Step 5: Solve for x
    x = 7,772,478,439.34/137,518.56
  6. Step 6: Final answer
    x = 56,519.49

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1.5x scale

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.