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Finding the Fourth Proportional to 137,405.67, 189,618.08 and 76,975.22

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Solution

The fourth proportional to 137,405.67, 189,618.08 and 76,975.22 is: 106,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,405.67 : 189,618.08 = 76,975.22 : x
  2. Step 2: Convert to fraction form
    137,405.67/189,618.08 = 76,975.22/x
  3. Step 3: Cross multiply
    137,405.67x = 189,618.08 × 76,975.22
  4. Step 4: Simplify right side
    137,405.67x = 14,595,892,091.01
  5. Step 5: Solve for x
    x = 14,595,892,091.01/137,405.67
  6. Step 6: Final answer
    x = 106,224.82

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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.