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Finding the Fourth Proportional to 137,855.96, 206,803.40 and 49,090.48

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Solution

The fourth proportional to 137,855.96, 206,803.40 and 49,090.48 is: 73,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,855.96 : 206,803.40 = 49,090.48 : x
  2. Step 2: Convert to fraction form
    137,855.96/206,803.40 = 49,090.48/x
  3. Step 3: Cross multiply
    137,855.96x = 206,803.40 × 49,090.48
  4. Step 4: Simplify right side
    137,855.96x = 10,152,078,171.63
  5. Step 5: Solve for x
    x = 10,152,078,171.63/137,855.96
  6. Step 6: Final answer
    x = 73,642.65

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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.