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Finding the Fourth Proportional to 137,181.60, 189,299.81 and 76,747.50

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Solution

The fourth proportional to 137,181.60, 189,299.81 and 76,747.50 is: 105,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,181.60 : 189,299.81 = 76,747.50 : x
  2. Step 2: Convert to fraction form
    137,181.60/189,299.81 = 76,747.50/x
  3. Step 3: Cross multiply
    137,181.60x = 189,299.81 × 76,747.50
  4. Step 4: Simplify right side
    137,181.60x = 14,528,287,167.98
  5. Step 5: Solve for x
    x = 14,528,287,167.98/137,181.60
  6. Step 6: Final answer
    x = 105,905.51

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1.5x scale

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.