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Finding the Fourth Proportional to 175,732, 263,558.40 and 80,871.12

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Solution

The fourth proportional to 175,732, 263,558.40 and 80,871.12 is: 121,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,732 : 263,558.40 = 80,871.12 : x
  2. Step 2: Convert to fraction form
    175,732/263,558.40 = 80,871.12/x
  3. Step 3: Cross multiply
    175,732x = 263,558.40 × 80,871.12
  4. Step 4: Simplify right side
    175,732x = 21,314,262,993.41
  5. Step 5: Solve for x
    x = 21,314,262,993.41/175,732
  6. Step 6: Final answer
    x = 121,288.46

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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.