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Finding the Fourth Proportional to 89,666.82, 123,698.64 and 57,846

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Solution

The fourth proportional to 89,666.82, 123,698.64 and 57,846 is: 79,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,666.82 : 123,698.64 = 57,846 : x
  2. Step 2: Convert to fraction form
    89,666.82/123,698.64 = 57,846/x
  3. Step 3: Cross multiply
    89,666.82x = 123,698.64 × 57,846
  4. Step 4: Simplify right side
    89,666.82x = 7,155,471,529.44
  5. Step 5: Solve for x
    x = 7,155,471,529.44/89,666.82
  6. Step 6: Final answer
    x = 79,800.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.