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Finding the Fourth Proportional to 201,040.70, 277,458.31 and 115,007.61

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Solution

The fourth proportional to 201,040.70, 277,458.31 and 115,007.61 is: 158,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,040.70 : 277,458.31 = 115,007.61 : x
  2. Step 2: Convert to fraction form
    201,040.70/277,458.31 = 115,007.61/x
  3. Step 3: Cross multiply
    201,040.70x = 277,458.31 × 115,007.61
  4. Step 4: Simplify right side
    201,040.70x = 31,909,817,860.69
  5. Step 5: Solve for x
    x = 31,909,817,860.69/201,040.70
  6. Step 6: Final answer
    x = 158,723.17

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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.