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Finding the Fourth Proportional to 219,722.40, 329,564.40 and 71,978.40

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Solution

The fourth proportional to 219,722.40, 329,564.40 and 71,978.40 is: 107,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,722.40 : 329,564.40 = 71,978.40 : x
  2. Step 2: Convert to fraction form
    219,722.40/329,564.40 = 71,978.40/x
  3. Step 3: Cross multiply
    219,722.40x = 329,564.40 × 71,978.40
  4. Step 4: Simplify right side
    219,722.40x = 23,721,518,208.96
  5. Step 5: Solve for x
    x = 23,721,518,208.96/219,722.40
  6. Step 6: Final answer
    x = 107,961.31

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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.