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Finding the Fourth Proportional to 107,971.66, 161,957.49 and 55,347.58

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Solution

The fourth proportional to 107,971.66, 161,957.49 and 55,347.58 is: 83,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,971.66 : 161,957.49 = 55,347.58 : x
  2. Step 2: Convert to fraction form
    107,971.66/161,957.49 = 55,347.58/x
  3. Step 3: Cross multiply
    107,971.66x = 161,957.49 × 55,347.58
  4. Step 4: Simplify right side
    107,971.66x = 8,963,955,134.37
  5. Step 5: Solve for x
    x = 8,963,955,134.37/107,971.66
  6. Step 6: Final answer
    x = 83,021.37

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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.