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Finding the Fourth Proportional to 202,205.50, 279,043.59 and 112,781.50

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Solution

The fourth proportional to 202,205.50, 279,043.59 and 112,781.50 is: 155,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205.50 : 279,043.59 = 112,781.50 : x
  2. Step 2: Convert to fraction form
    202,205.50/279,043.59 = 112,781.50/x
  3. Step 3: Cross multiply
    202,205.50x = 279,043.59 × 112,781.50
  4. Step 4: Simplify right side
    202,205.50x = 31,470,954,645.59
  5. Step 5: Solve for x
    x = 31,470,954,645.59/202,205.50
  6. Step 6: Final answer
    x = 155,638.47

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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.