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Finding the Fourth Proportional to 137,084.78, 189,175.92 and 76,655.54

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Solution

The fourth proportional to 137,084.78, 189,175.92 and 76,655.54 is: 105,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,084.78 : 189,175.92 = 76,655.54 : x
  2. Step 2: Convert to fraction form
    137,084.78/189,175.92 = 76,655.54/x
  3. Step 3: Cross multiply
    137,084.78x = 189,175.92 × 76,655.54
  4. Step 4: Simplify right side
    137,084.78x = 14,501,382,302.60
  5. Step 5: Solve for x
    x = 14,501,382,302.60/137,084.78
  6. Step 6: Final answer
    x = 105,784.04

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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.