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Finding the Fourth Proportional to 219,411.36, 329,128.31 and 61,652.11

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Solution

The fourth proportional to 219,411.36, 329,128.31 and 61,652.11 is: 92,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,411.36 : 329,128.31 = 61,652.11 : x
  2. Step 2: Convert to fraction form
    219,411.36/329,128.31 = 61,652.11/x
  3. Step 3: Cross multiply
    219,411.36x = 329,128.31 × 61,652.11
  4. Step 4: Simplify right side
    219,411.36x = 20,291,455,646.33
  5. Step 5: Solve for x
    x = 20,291,455,646.33/219,411.36
  6. Step 6: Final answer
    x = 92,481.34

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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.