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Finding the Fourth Proportional to 201,398.67, 277,851.50 and 115,311.64

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Solution

The fourth proportional to 201,398.67, 277,851.50 and 115,311.64 is: 159,085.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398.67 : 277,851.50 = 115,311.64 : x
  2. Step 2: Convert to fraction form
    201,398.67/277,851.50 = 115,311.64/x
  3. Step 3: Cross multiply
    201,398.67x = 277,851.50 × 115,311.64
  4. Step 4: Simplify right side
    201,398.67x = 32,039,513,677.69
  5. Step 5: Solve for x
    x = 32,039,513,677.69/201,398.67
  6. Step 6: Final answer
    x = 159,085.03

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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.