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Finding the Fourth Proportional to 137,099.90, 189,201.75 and 76,672.82

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Solution

The fourth proportional to 137,099.90, 189,201.75 and 76,672.82 is: 105,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,099.90 : 189,201.75 = 76,672.82 : x
  2. Step 2: Convert to fraction form
    137,099.90/189,201.75 = 76,672.82/x
  3. Step 3: Cross multiply
    137,099.90x = 189,201.75 × 76,672.82
  4. Step 4: Simplify right side
    137,099.90x = 14,506,631,721.44
  5. Step 5: Solve for x
    x = 14,506,631,721.44/137,099.90
  6. Step 6: Final answer
    x = 105,810.67

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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.