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Finding the Fourth Proportional to 133,083.01, 183,653.43 and 72,652.78

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Solution

The fourth proportional to 133,083.01, 183,653.43 and 72,652.78 is: 100,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083.01 : 183,653.43 = 72,652.78 : x
  2. Step 2: Convert to fraction form
    133,083.01/183,653.43 = 72,652.78/x
  3. Step 3: Cross multiply
    133,083.01x = 183,653.43 × 72,652.78
  4. Step 4: Simplify right side
    133,083.01x = 13,342,932,246.04
  5. Step 5: Solve for x
    x = 13,342,932,246.04/133,083.01
  6. Step 6: Final answer
    x = 100,260.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.