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Finding the Fourth Proportional to 219,858.70, 329,897.40 and 86,743.30

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Solution

The fourth proportional to 219,858.70, 329,897.40 and 86,743.30 is: 130,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,858.70 : 329,897.40 = 86,743.30 : x
  2. Step 2: Convert to fraction form
    219,858.70/329,897.40 = 86,743.30/x
  3. Step 3: Cross multiply
    219,858.70x = 329,897.40 × 86,743.30
  4. Step 4: Simplify right side
    219,858.70x = 28,616,389,137.42
  5. Step 5: Solve for x
    x = 28,616,389,137.42/219,858.70
  6. Step 6: Final answer
    x = 130,158.09

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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.