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Finding the Fourth Proportional to 219,801.30, 329,738.40 and 86,685.90

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Solution

The fourth proportional to 219,801.30, 329,738.40 and 86,685.90 is: 130,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,801.30 : 329,738.40 = 86,685.90 : x
  2. Step 2: Convert to fraction form
    219,801.30/329,738.40 = 86,685.90/x
  3. Step 3: Cross multiply
    219,801.30x = 329,738.40 × 86,685.90
  4. Step 4: Simplify right side
    219,801.30x = 28,583,669,968.56
  5. Step 5: Solve for x
    x = 28,583,669,968.56/219,801.30
  6. Step 6: Final answer
    x = 130,043.23

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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.