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Finding the Fourth Proportional to 161,447.81, 242,180.80 and 49,131.68

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Solution

The fourth proportional to 161,447.81, 242,180.80 and 49,131.68 is: 73,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,447.81 : 242,180.80 = 49,131.68 : x
  2. Step 2: Convert to fraction form
    161,447.81/242,180.80 = 49,131.68/x
  3. Step 3: Cross multiply
    161,447.81x = 242,180.80 × 49,131.68
  4. Step 4: Simplify right side
    161,447.81x = 11,898,748,234.01
  5. Step 5: Solve for x
    x = 11,898,748,234.01/161,447.81
  6. Step 6: Final answer
    x = 73,700.28

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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.