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Finding the Fourth Proportional to 219,699.30, 329,585.40 and 86,583.90

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Solution

The fourth proportional to 219,699.30, 329,585.40 and 86,583.90 is: 129,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,699.30 : 329,585.40 = 86,583.90 : x
  2. Step 2: Convert to fraction form
    219,699.30/329,585.40 = 86,583.90/x
  3. Step 3: Cross multiply
    219,699.30x = 329,585.40 × 86,583.90
  4. Step 4: Simplify right side
    219,699.30x = 28,536,789,315.06
  5. Step 5: Solve for x
    x = 28,536,789,315.06/219,699.30
  6. Step 6: Final answer
    x = 129,890.22

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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.