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Finding the Fourth Proportional to 219,286.65, 328,665.10 and 106,798.31

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Solution

The fourth proportional to 219,286.65, 328,665.10 and 106,798.31 is: 160,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,286.65 : 328,665.10 = 106,798.31 : x
  2. Step 2: Convert to fraction form
    219,286.65/328,665.10 = 106,798.31/x
  3. Step 3: Cross multiply
    219,286.65x = 328,665.10 × 106,798.31
  4. Step 4: Simplify right side
    219,286.65x = 35,100,877,235.98
  5. Step 5: Solve for x
    x = 35,100,877,235.98/219,286.65
  6. Step 6: Final answer
    x = 160,068.46

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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.