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Finding the Fourth Proportional to 64,951.31, 97,429.81 and 20,581.34

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Solution

The fourth proportional to 64,951.31, 97,429.81 and 20,581.34 is: 30,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,951.31 : 97,429.81 = 20,581.34 : x
  2. Step 2: Convert to fraction form
    64,951.31/97,429.81 = 20,581.34/x
  3. Step 3: Cross multiply
    64,951.31x = 97,429.81 × 20,581.34
  4. Step 4: Simplify right side
    64,951.31x = 2,005,236,045.75
  5. Step 5: Solve for x
    x = 2,005,236,045.75/64,951.31
  6. Step 6: Final answer
    x = 30,872.91

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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.