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Finding the Fourth Proportional to 219,313.58, 328,921.16 and 100,871.12

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Solution

The fourth proportional to 219,313.58, 328,921.16 and 100,871.12 is: 151,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,313.58 : 328,921.16 = 100,871.12 : x
  2. Step 2: Convert to fraction form
    219,313.58/328,921.16 = 100,871.12/x
  3. Step 3: Cross multiply
    219,313.58x = 328,921.16 × 100,871.12
  4. Step 4: Simplify right side
    219,313.58x = 33,178,646,118.85
  5. Step 5: Solve for x
    x = 33,178,646,118.85/219,313.58
  6. Step 6: Final answer
    x = 151,284.05

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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.