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Finding the Fourth Proportional to 201,315.82, 277,842.78 and 129,903.46

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Solution

The fourth proportional to 201,315.82, 277,842.78 and 129,903.46 is: 179,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,315.82 : 277,842.78 = 129,903.46 : x
  2. Step 2: Convert to fraction form
    201,315.82/277,842.78 = 129,903.46/x
  3. Step 3: Cross multiply
    201,315.82x = 277,842.78 × 129,903.46
  4. Step 4: Simplify right side
    201,315.82x = 36,092,738,458.02
  5. Step 5: Solve for x
    x = 36,092,738,458.02/201,315.82
  6. Step 6: Final answer
    x = 179,284.16

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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.