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Finding the Fourth Proportional to 188,731, 283,140.24 and 64,072

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Solution

The fourth proportional to 188,731, 283,140.24 and 64,072 is: 96,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,731 : 283,140.24 = 64,072 : x
  2. Step 2: Convert to fraction form
    188,731/283,140.24 = 64,072/x
  3. Step 3: Cross multiply
    188,731x = 283,140.24 × 64,072
  4. Step 4: Simplify right side
    188,731x = 18,141,361,457.28
  5. Step 5: Solve for x
    x = 18,141,361,457.28/188,731
  6. Step 6: Final answer
    x = 96,122.85

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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.