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Finding the Fourth Proportional to 85,090.50, 127,694.07 and 29,686.50

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Solution

The fourth proportional to 85,090.50, 127,694.07 and 29,686.50 is: 44,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,090.50 : 127,694.07 = 29,686.50 : x
  2. Step 2: Convert to fraction form
    85,090.50/127,694.07 = 29,686.50/x
  3. Step 3: Cross multiply
    85,090.50x = 127,694.07 × 29,686.50
  4. Step 4: Simplify right side
    85,090.50x = 3,790,790,009.06
  5. Step 5: Solve for x
    x = 3,790,790,009.06/85,090.50
  6. Step 6: Final answer
    x = 44,550.10

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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.