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Finding the Fourth Proportional to 73,228.10, 109,854.30 and 28,856.30

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Solution

The fourth proportional to 73,228.10, 109,854.30 and 28,856.30 is: 43,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,228.10 : 109,854.30 = 28,856.30 : x
  2. Step 2: Convert to fraction form
    73,228.10/109,854.30 = 28,856.30/x
  3. Step 3: Cross multiply
    73,228.10x = 109,854.30 × 28,856.30
  4. Step 4: Simplify right side
    73,228.10x = 3,169,988,637.09
  5. Step 5: Solve for x
    x = 3,169,988,637.09/73,228.10
  6. Step 6: Final answer
    x = 43,289.24

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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.