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Finding the Fourth Proportional to 85,012, 127,520.70 and 25,848.19

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Solution

The fourth proportional to 85,012, 127,520.70 and 25,848.19 is: 38,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,012 : 127,520.70 = 25,848.19 : x
  2. Step 2: Convert to fraction form
    85,012/127,520.70 = 25,848.19/x
  3. Step 3: Cross multiply
    85,012x = 127,520.70 × 25,848.19
  4. Step 4: Simplify right side
    85,012x = 3,296,179,282.53
  5. Step 5: Solve for x
    x = 3,296,179,282.53/85,012
  6. Step 6: Final answer
    x = 38,773.11

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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.