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Finding the Fourth Proportional to 219,830.10, 329,745.15 and 86,714.70

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Solution

The fourth proportional to 219,830.10, 329,745.15 and 86,714.70 is: 130,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,830.10 : 329,745.15 = 86,714.70 : x
  2. Step 2: Convert to fraction form
    219,830.10/329,745.15 = 86,714.70/x
  3. Step 3: Cross multiply
    219,830.10x = 329,745.15 × 86,714.70
  4. Step 4: Simplify right side
    219,830.10x = 28,593,751,758.71
  5. Step 5: Solve for x
    x = 28,593,751,758.71/219,830.10
  6. Step 6: Final answer
    x = 130,072.05

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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.