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Finding the Fourth Proportional to 85,446.58, 128,187.90 and 32,139.06

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Solution

The fourth proportional to 85,446.58, 128,187.90 and 32,139.06 is: 48,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,446.58 : 128,187.90 = 32,139.06 : x
  2. Step 2: Convert to fraction form
    85,446.58/128,187.90 = 32,139.06/x
  3. Step 3: Cross multiply
    85,446.58x = 128,187.90 × 32,139.06
  4. Step 4: Simplify right side
    85,446.58x = 4,119,838,609.37
  5. Step 5: Solve for x
    x = 4,119,838,609.37/85,446.58
  6. Step 6: Final answer
    x = 48,215.37

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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.