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Finding the Fourth Proportional to 219,102.40, 328,702.92 and 69,351.64

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Solution

The fourth proportional to 219,102.40, 328,702.92 and 69,351.64 is: 104,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,102.40 : 328,702.92 = 69,351.64 : x
  2. Step 2: Convert to fraction form
    219,102.40/328,702.92 = 69,351.64/x
  3. Step 3: Cross multiply
    219,102.40x = 328,702.92 × 69,351.64
  4. Step 4: Simplify right side
    219,102.40x = 22,796,086,574.79
  5. Step 5: Solve for x
    x = 22,796,086,574.79/219,102.40
  6. Step 6: Final answer
    x = 104,043.07

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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.