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Finding the Fourth Proportional to 117,351.48, 161,974.08 and 77,119.86

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Solution

The fourth proportional to 117,351.48, 161,974.08 and 77,119.86 is: 106,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,351.48 : 161,974.08 = 77,119.86 : x
  2. Step 2: Convert to fraction form
    117,351.48/161,974.08 = 77,119.86/x
  3. Step 3: Cross multiply
    117,351.48x = 161,974.08 × 77,119.86
  4. Step 4: Simplify right side
    117,351.48x = 12,491,418,373.23
  5. Step 5: Solve for x
    x = 12,491,418,373.23/117,351.48
  6. Step 6: Final answer
    x = 106,444.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.