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Finding the Fourth Proportional to 89,898.87, 134,809.10 and 47,768.81

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Solution

The fourth proportional to 89,898.87, 134,809.10 and 47,768.81 is: 71,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,898.87 : 134,809.10 = 47,768.81 : x
  2. Step 2: Convert to fraction form
    89,898.87/134,809.10 = 47,768.81/x
  3. Step 3: Cross multiply
    89,898.87x = 134,809.10 × 47,768.81
  4. Step 4: Simplify right side
    89,898.87x = 6,439,669,371.28
  5. Step 5: Solve for x
    x = 6,439,669,371.28/89,898.87
  6. Step 6: Final answer
    x = 71,632.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.