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Finding the Fourth Proportional to 89,871.30, 134,788.05 and 45,456.30

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Solution

The fourth proportional to 89,871.30, 134,788.05 and 45,456.30 is: 68,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,871.30 : 134,788.05 = 45,456.30 : x
  2. Step 2: Convert to fraction form
    89,871.30/134,788.05 = 45,456.30/x
  3. Step 3: Cross multiply
    89,871.30x = 134,788.05 × 45,456.30
  4. Step 4: Simplify right side
    89,871.30x = 6,126,966,037.22
  5. Step 5: Solve for x
    x = 6,126,966,037.22/89,871.30
  6. Step 6: Final answer
    x = 68,174.89

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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.