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Finding the Fourth Proportional to 89,898.37, 134,808.34 and 47,768.31

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Solution

The fourth proportional to 89,898.37, 134,808.34 and 47,768.31 is: 71,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,898.37 : 134,808.34 = 47,768.31 : x
  2. Step 2: Convert to fraction form
    89,898.37/134,808.34 = 47,768.31/x
  3. Step 3: Cross multiply
    89,898.37x = 134,808.34 × 47,768.31
  4. Step 4: Simplify right side
    89,898.37x = 6,439,566,575.71
  5. Step 5: Solve for x
    x = 6,439,566,575.71/89,898.37
  6. Step 6: Final answer
    x = 71,631.63

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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.