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Finding the Fourth Proportional to 219,106.56, 328,696.16 and 76,914.96

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Solution

The fourth proportional to 219,106.56, 328,696.16 and 76,914.96 is: 115,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,106.56 : 328,696.16 = 76,914.96 : x
  2. Step 2: Convert to fraction form
    219,106.56/328,696.16 = 76,914.96/x
  3. Step 3: Cross multiply
    219,106.56x = 328,696.16 × 76,914.96
  4. Step 4: Simplify right side
    219,106.56x = 25,281,651,998.55
  5. Step 5: Solve for x
    x = 25,281,651,998.55/219,106.56
  6. Step 6: Final answer
    x = 115,385.19

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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.