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Finding the Fourth Proportional to 143,577.60, 198,135.36 and 83,961.60

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Solution

The fourth proportional to 143,577.60, 198,135.36 and 83,961.60 is: 115,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,577.60 : 198,135.36 = 83,961.60 : x
  2. Step 2: Convert to fraction form
    143,577.60/198,135.36 = 83,961.60/x
  3. Step 3: Cross multiply
    143,577.60x = 198,135.36 × 83,961.60
  4. Step 4: Simplify right side
    143,577.60x = 16,635,761,842.18
  5. Step 5: Solve for x
    x = 16,635,761,842.18/143,577.60
  6. Step 6: Final answer
    x = 115,866.00

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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.