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Finding the Fourth Proportional to 272,642.74, 409,010.55 and 92,709.34

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Solution

The fourth proportional to 272,642.74, 409,010.55 and 92,709.34 is: 139,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,642.74 : 409,010.55 = 92,709.34 : x
  2. Step 2: Convert to fraction form
    272,642.74/409,010.55 = 92,709.34/x
  3. Step 3: Cross multiply
    272,642.74x = 409,010.55 × 92,709.34
  4. Step 4: Simplify right side
    272,642.74x = 37,919,098,143.54
  5. Step 5: Solve for x
    x = 37,919,098,143.54/272,642.74
  6. Step 6: Final answer
    x = 139,079.80

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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.