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Finding the Fourth Proportional to 87,176, 130,783.44 and 31,772

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Solution

The fourth proportional to 87,176, 130,783.44 and 31,772 is: 47,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,176 : 130,783.44 = 31,772 : x
  2. Step 2: Convert to fraction form
    87,176/130,783.44 = 31,772/x
  3. Step 3: Cross multiply
    87,176x = 130,783.44 × 31,772
  4. Step 4: Simplify right side
    87,176x = 4,155,251,455.68
  5. Step 5: Solve for x
    x = 4,155,251,455.68/87,176
  6. Step 6: Final answer
    x = 47,665.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.