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Finding the Fourth Proportional to 253,537.31, 380,365.99 and 82,758.13

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Solution

The fourth proportional to 253,537.31, 380,365.99 and 82,758.13 is: 124,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,537.31 : 380,365.99 = 82,758.13 : x
  2. Step 2: Convert to fraction form
    253,537.31/380,365.99 = 82,758.13/x
  3. Step 3: Cross multiply
    253,537.31x = 380,365.99 × 82,758.13
  4. Step 4: Simplify right side
    253,537.31x = 31,478,376,890.19
  5. Step 5: Solve for x
    x = 31,478,376,890.19/253,537.31
  6. Step 6: Final answer
    x = 124,156.78

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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.