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Finding the Fourth Proportional to 231,837.66, 347,756.76 and 74,078.28

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Solution

The fourth proportional to 231,837.66, 347,756.76 and 74,078.28 is: 111,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,837.66 : 347,756.76 = 74,078.28 : x
  2. Step 2: Convert to fraction form
    231,837.66/347,756.76 = 74,078.28/x
  3. Step 3: Cross multiply
    231,837.66x = 347,756.76 × 74,078.28
  4. Step 4: Simplify right side
    231,837.66x = 25,761,222,639.17
  5. Step 5: Solve for x
    x = 25,761,222,639.17/231,837.66
  6. Step 6: Final answer
    x = 111,117.51

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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.