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Finding the Fourth Proportional to 143,782.38, 198,420.47 and 83,388.84

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Solution

The fourth proportional to 143,782.38, 198,420.47 and 83,388.84 is: 115,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,782.38 : 198,420.47 = 83,388.84 : x
  2. Step 2: Convert to fraction form
    143,782.38/198,420.47 = 83,388.84/x
  3. Step 3: Cross multiply
    143,782.38x = 198,420.47 × 83,388.84
  4. Step 4: Simplify right side
    143,782.38x = 16,546,051,977.24
  5. Step 5: Solve for x
    x = 16,546,051,977.24/143,782.38
  6. Step 6: Final answer
    x = 115,077.05

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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.