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Finding the Fourth Proportional to 219,431.80, 329,118.52 and 86,276.30

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Solution

The fourth proportional to 219,431.80, 329,118.52 and 86,276.30 is: 129,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,431.80 : 329,118.52 = 86,276.30 : x
  2. Step 2: Convert to fraction form
    219,431.80/329,118.52 = 86,276.30/x
  3. Step 3: Cross multiply
    219,431.80x = 329,118.52 × 86,276.30
  4. Step 4: Simplify right side
    219,431.80x = 28,395,128,167.08
  5. Step 5: Solve for x
    x = 28,395,128,167.08/219,431.80
  6. Step 6: Final answer
    x = 129,402.98

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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.