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Finding the Fourth Proportional to 230,970.87, 318,562.67 and 138,994.31

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Solution

The fourth proportional to 230,970.87, 318,562.67 and 138,994.31 is: 191,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,970.87 : 318,562.67 = 138,994.31 : x
  2. Step 2: Convert to fraction form
    230,970.87/318,562.67 = 138,994.31/x
  3. Step 3: Cross multiply
    230,970.87x = 318,562.67 × 138,994.31
  4. Step 4: Simplify right side
    230,970.87x = 44,278,399,652.30
  5. Step 5: Solve for x
    x = 44,278,399,652.30/230,970.87
  6. Step 6: Final answer
    x = 191,705.56

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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.