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Finding the Fourth Proportional to 84,902, 127,361.10 and 34,985.48

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Solution

The fourth proportional to 84,902, 127,361.10 and 34,985.48 is: 52,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,902 : 127,361.10 = 34,985.48 : x
  2. Step 2: Convert to fraction form
    84,902/127,361.10 = 34,985.48/x
  3. Step 3: Cross multiply
    84,902x = 127,361.10 × 34,985.48
  4. Step 4: Simplify right side
    84,902x = 4,455,789,216.83
  5. Step 5: Solve for x
    x = 4,455,789,216.83/84,902
  6. Step 6: Final answer
    x = 52,481.56

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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.