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Finding the Fourth Proportional to 143,649.36, 198,243.72 and 87,057.36

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Solution

The fourth proportional to 143,649.36, 198,243.72 and 87,057.36 is: 120,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,649.36 : 198,243.72 = 87,057.36 : x
  2. Step 2: Convert to fraction form
    143,649.36/198,243.72 = 87,057.36/x
  3. Step 3: Cross multiply
    143,649.36x = 198,243.72 × 87,057.36
  4. Step 4: Simplify right side
    143,649.36x = 17,258,574,899.78
  5. Step 5: Solve for x
    x = 17,258,574,899.78/143,649.36
  6. Step 6: Final answer
    x = 120,143.76

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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.