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Finding the Fourth Proportional to 253,581.12, 380,008.80 and 142,539.84

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Solution

The fourth proportional to 253,581.12, 380,008.80 and 142,539.84 is: 213,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,581.12 : 380,008.80 = 142,539.84 : x
  2. Step 2: Convert to fraction form
    253,581.12/380,008.80 = 142,539.84/x
  3. Step 3: Cross multiply
    253,581.12x = 380,008.80 × 142,539.84
  4. Step 4: Simplify right side
    253,581.12x = 54,166,393,550.59
  5. Step 5: Solve for x
    x = 54,166,393,550.59/253,581.12
  6. Step 6: Final answer
    x = 213,605.78

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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.