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Finding the Fourth Proportional to 201,917.70, 278,645.13 and 111,274.38

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Solution

The fourth proportional to 201,917.70, 278,645.13 and 111,274.38 is: 153,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,917.70 : 278,645.13 = 111,274.38 : x
  2. Step 2: Convert to fraction form
    201,917.70/278,645.13 = 111,274.38/x
  3. Step 3: Cross multiply
    201,917.70x = 278,645.13 × 111,274.38
  4. Step 4: Simplify right side
    201,917.70x = 31,006,064,080.77
  5. Step 5: Solve for x
    x = 31,006,064,080.77/201,917.70
  6. Step 6: Final answer
    x = 153,557.93

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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.