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Finding the Fourth Proportional to 201,104.78, 301,652.54 and 101,238.16

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Solution

The fourth proportional to 201,104.78, 301,652.54 and 101,238.16 is: 151,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,104.78 : 301,652.54 = 101,238.16 : x
  2. Step 2: Convert to fraction form
    201,104.78/301,652.54 = 101,238.16/x
  3. Step 3: Cross multiply
    201,104.78x = 301,652.54 × 101,238.16
  4. Step 4: Simplify right side
    201,104.78x = 30,538,748,108.93
  5. Step 5: Solve for x
    x = 30,538,748,108.93/201,104.78
  6. Step 6: Final answer
    x = 151,854.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.