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Finding the Fourth Proportional to 219,087.70, 328,775.23 and 76,929.31

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Solution

The fourth proportional to 219,087.70, 328,775.23 and 76,929.31 is: 115,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,087.70 : 328,775.23 = 76,929.31 : x
  2. Step 2: Convert to fraction form
    219,087.70/328,775.23 = 76,929.31/x
  3. Step 3: Cross multiply
    219,087.70x = 328,775.23 × 76,929.31
  4. Step 4: Simplify right side
    219,087.70x = 25,292,450,492.74
  5. Step 5: Solve for x
    x = 25,292,450,492.74/219,087.70
  6. Step 6: Final answer
    x = 115,444.41

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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.