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Finding the Fourth Proportional to 219,830, 329,523.44 and 86,658.72

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Solution

The fourth proportional to 219,830, 329,523.44 and 86,658.72 is: 129,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,830 : 329,523.44 = 86,658.72 : x
  2. Step 2: Convert to fraction form
    219,830/329,523.44 = 86,658.72/x
  3. Step 3: Cross multiply
    219,830x = 329,523.44 × 86,658.72
  4. Step 4: Simplify right side
    219,830x = 28,556,079,520.40
  5. Step 5: Solve for x
    x = 28,556,079,520.40/219,830
  6. Step 6: Final answer
    x = 129,900.74

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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.