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Finding the Fourth Proportional to 133,083.46, 183,654.12 and 72,653.23

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Solution

The fourth proportional to 133,083.46, 183,654.12 and 72,653.23 is: 100,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083.46 : 183,654.12 = 72,653.23 : x
  2. Step 2: Convert to fraction form
    133,083.46/183,654.12 = 72,653.23/x
  3. Step 3: Cross multiply
    133,083.46x = 183,654.12 × 72,653.23
  4. Step 4: Simplify right side
    133,083.46x = 13,343,065,020.81
  5. Step 5: Solve for x
    x = 13,343,065,020.81/133,083.46
  6. Step 6: Final answer
    x = 100,260.88

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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.