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Finding the Fourth Proportional to 85,819.91, 128,709.36 and 29,662.01

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Solution

The fourth proportional to 85,819.91, 128,709.36 and 29,662.01 is: 44,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,819.91 : 128,709.36 = 29,662.01 : x
  2. Step 2: Convert to fraction form
    85,819.91/128,709.36 = 29,662.01/x
  3. Step 3: Cross multiply
    85,819.91x = 128,709.36 × 29,662.01
  4. Step 4: Simplify right side
    85,819.91x = 3,817,778,323.41
  5. Step 5: Solve for x
    x = 3,817,778,323.41/85,819.91
  6. Step 6: Final answer
    x = 44,485.93

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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.