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Finding the Fourth Proportional to 82,871.20, 124,015.20 and 56,627.20

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Solution

The fourth proportional to 82,871.20, 124,015.20 and 56,627.20 is: 84,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.20 : 124,015.20 = 56,627.20 : x
  2. Step 2: Convert to fraction form
    82,871.20/124,015.20 = 56,627.20/x
  3. Step 3: Cross multiply
    82,871.20x = 124,015.20 × 56,627.20
  4. Step 4: Simplify right side
    82,871.20x = 7,022,633,533.44
  5. Step 5: Solve for x
    x = 7,022,633,533.44/82,871.20
  6. Step 6: Final answer
    x = 84,741.55

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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.