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Finding the Fourth Proportional to 219,770.74, 329,705.82 and 70,019.56

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Solution

The fourth proportional to 219,770.74, 329,705.82 and 70,019.56 is: 105,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,770.74 : 329,705.82 = 70,019.56 : x
  2. Step 2: Convert to fraction form
    219,770.74/329,705.82 = 70,019.56/x
  3. Step 3: Cross multiply
    219,770.74x = 329,705.82 × 70,019.56
  4. Step 4: Simplify right side
    219,770.74x = 23,085,856,445.84
  5. Step 5: Solve for x
    x = 23,085,856,445.84/219,770.74
  6. Step 6: Final answer
    x = 105,045.18

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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.