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Finding the Fourth Proportional to 219,950.10, 329,983.20 and 86,797.98

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Solution

The fourth proportional to 219,950.10, 329,983.20 and 86,797.98 is: 130,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,950.10 : 329,983.20 = 86,797.98 : x
  2. Step 2: Convert to fraction form
    219,950.10/329,983.20 = 86,797.98/x
  3. Step 3: Cross multiply
    219,950.10x = 329,983.20 × 86,797.98
  4. Step 4: Simplify right side
    219,950.10x = 28,641,875,193.94
  5. Step 5: Solve for x
    x = 28,641,875,193.94/219,950.10
  6. Step 6: Final answer
    x = 130,219.88

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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.