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Finding the Fourth Proportional to 143,347.36, 197,790.48 and 83,719.84

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Solution

The fourth proportional to 143,347.36, 197,790.48 and 83,719.84 is: 115,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,347.36 : 197,790.48 = 83,719.84 : x
  2. Step 2: Convert to fraction form
    143,347.36/197,790.48 = 83,719.84/x
  3. Step 3: Cross multiply
    143,347.36x = 197,790.48 × 83,719.84
  4. Step 4: Simplify right side
    143,347.36x = 16,558,987,339.12
  5. Step 5: Solve for x
    x = 16,558,987,339.12/143,347.36
  6. Step 6: Final answer
    x = 115,516.51

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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.