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Finding the Fourth Proportional to 219,685.36, 329,524.96 and 86,566.77

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Solution

The fourth proportional to 219,685.36, 329,524.96 and 86,566.77 is: 129,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,685.36 : 329,524.96 = 86,566.77 : x
  2. Step 2: Convert to fraction form
    219,685.36/329,524.96 = 86,566.77/x
  3. Step 3: Cross multiply
    219,685.36x = 329,524.96 × 86,566.77
  4. Step 4: Simplify right side
    219,685.36x = 28,525,910,988.75
  5. Step 5: Solve for x
    x = 28,525,910,988.75/219,685.36
  6. Step 6: Final answer
    x = 129,848.94

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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.