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Finding the Fourth Proportional to 85,140, 127,710.54 and 29,736

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Solution

The fourth proportional to 85,140, 127,710.54 and 29,736 is: 44,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,140 : 127,710.54 = 29,736 : x
  2. Step 2: Convert to fraction form
    85,140/127,710.54 = 29,736/x
  3. Step 3: Cross multiply
    85,140x = 127,710.54 × 29,736
  4. Step 4: Simplify right side
    85,140x = 3,797,600,617.44
  5. Step 5: Solve for x
    x = 3,797,600,617.44/85,140
  6. Step 6: Final answer
    x = 44,604.19

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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.