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Finding the Fourth Proportional to 253,860.06, 380,822.49 and 85,308.06

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Solution

The fourth proportional to 253,860.06, 380,822.49 and 85,308.06 is: 127,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,860.06 : 380,822.49 = 85,308.06 : x
  2. Step 2: Convert to fraction form
    253,860.06/380,822.49 = 85,308.06/x
  3. Step 3: Cross multiply
    253,860.06x = 380,822.49 × 85,308.06
  4. Step 4: Simplify right side
    253,860.06x = 32,487,227,826.27
  5. Step 5: Solve for x
    x = 32,487,227,826.27/253,860.06
  6. Step 6: Final answer
    x = 127,972.98

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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.