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Finding the Fourth Proportional to 127,289, 190,885.50 and 102,267.56

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Solution

The fourth proportional to 127,289, 190,885.50 and 102,267.56 is: 153,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,289 : 190,885.50 = 102,267.56 : x
  2. Step 2: Convert to fraction form
    127,289/190,885.50 = 102,267.56/x
  3. Step 3: Cross multiply
    127,289x = 190,885.50 × 102,267.56
  4. Step 4: Simplify right side
    127,289x = 19,521,394,324.38
  5. Step 5: Solve for x
    x = 19,521,394,324.38/127,289
  6. Step 6: Final answer
    x = 153,362.78

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1.5x scale

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.