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Finding the Fourth Proportional to 202,137.76, 278,943.66 and 111,497.68

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Solution

The fourth proportional to 202,137.76, 278,943.66 and 111,497.68 is: 153,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,137.76 : 278,943.66 = 111,497.68 : x
  2. Step 2: Convert to fraction form
    202,137.76/278,943.66 = 111,497.68/x
  3. Step 3: Cross multiply
    202,137.76x = 278,943.66 × 111,497.68
  4. Step 4: Simplify right side
    202,137.76x = 31,101,570,940.71
  5. Step 5: Solve for x
    x = 31,101,570,940.71/202,137.76
  6. Step 6: Final answer
    x = 153,863.24

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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.