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Finding the Fourth Proportional to 123,866.64, 185,649.84 and 57,168

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Solution

The fourth proportional to 123,866.64, 185,649.84 and 57,168 is: 85,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,866.64 : 185,649.84 = 57,168 : x
  2. Step 2: Convert to fraction form
    123,866.64/185,649.84 = 57,168/x
  3. Step 3: Cross multiply
    123,866.64x = 185,649.84 × 57,168
  4. Step 4: Simplify right side
    123,866.64x = 10,613,230,053.12
  5. Step 5: Solve for x
    x = 10,613,230,053.12/123,866.64
  6. Step 6: Final answer
    x = 85,682.72

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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.