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Finding the Fourth Proportional to 201,402.67, 277,857.02 and 115,315.64

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Solution

The fourth proportional to 201,402.67, 277,857.02 and 115,315.64 is: 159,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,402.67 : 277,857.02 = 115,315.64 : x
  2. Step 2: Convert to fraction form
    201,402.67/277,857.02 = 115,315.64/x
  3. Step 3: Cross multiply
    201,402.67x = 277,857.02 × 115,315.64
  4. Step 4: Simplify right side
    201,402.67x = 32,041,260,089.79
  5. Step 5: Solve for x
    x = 32,041,260,089.79/201,402.67
  6. Step 6: Final answer
    x = 159,090.54

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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.