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Finding the Fourth Proportional to 219,252.60, 328,965.30 and 86,110.20

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Solution

The fourth proportional to 219,252.60, 328,965.30 and 86,110.20 is: 129,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,252.60 : 328,965.30 = 86,110.20 : x
  2. Step 2: Convert to fraction form
    219,252.60/328,965.30 = 86,110.20/x
  3. Step 3: Cross multiply
    219,252.60x = 328,965.30 × 86,110.20
  4. Step 4: Simplify right side
    219,252.60x = 28,327,267,776.06
  5. Step 5: Solve for x
    x = 28,327,267,776.06/219,252.60
  6. Step 6: Final answer
    x = 129,199.23

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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.