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Finding the Fourth Proportional to 201,989.97, 278,746.10 and 111,347.43

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Solution

The fourth proportional to 201,989.97, 278,746.10 and 111,347.43 is: 153,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,989.97 : 278,746.10 = 111,347.43 : x
  2. Step 2: Convert to fraction form
    201,989.97/278,746.10 = 111,347.43/x
  3. Step 3: Cross multiply
    201,989.97x = 278,746.10 × 111,347.43
  4. Step 4: Simplify right side
    201,989.97x = 31,037,661,300.79
  5. Step 5: Solve for x
    x = 31,037,661,300.79/201,989.97
  6. Step 6: Final answer
    x = 153,659.42

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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.