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Finding the Fourth Proportional to 219,313.95, 328,921.72 and 100,871.50

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Solution

The fourth proportional to 219,313.95, 328,921.72 and 100,871.50 is: 151,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,313.95 : 328,921.72 = 100,871.50 : x
  2. Step 2: Convert to fraction form
    219,313.95/328,921.72 = 100,871.50/x
  3. Step 3: Cross multiply
    219,313.95x = 328,921.72 × 100,871.50
  4. Step 4: Simplify right side
    219,313.95x = 33,178,826,204.50
  5. Step 5: Solve for x
    x = 33,178,826,204.50/219,313.95
  6. Step 6: Final answer
    x = 151,284.61

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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.