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Finding the Fourth Proportional to 103,083.72, 155,327.73 and 84,773.81

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Solution

The fourth proportional to 103,083.72, 155,327.73 and 84,773.81 is: 127,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,083.72 : 155,327.73 = 84,773.81 : x
  2. Step 2: Convert to fraction form
    103,083.72/155,327.73 = 84,773.81/x
  3. Step 3: Cross multiply
    103,083.72x = 155,327.73 × 84,773.81
  4. Step 4: Simplify right side
    103,083.72x = 13,167,722,694.11
  5. Step 5: Solve for x
    x = 13,167,722,694.11/103,083.72
  6. Step 6: Final answer
    x = 127,738.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.