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Finding the Fourth Proportional to 208,915.44, 313,252.98 and 111,421.79

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Solution

The fourth proportional to 208,915.44, 313,252.98 and 111,421.79 is: 167,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,915.44 : 313,252.98 = 111,421.79 : x
  2. Step 2: Convert to fraction form
    208,915.44/313,252.98 = 111,421.79/x
  3. Step 3: Cross multiply
    208,915.44x = 313,252.98 × 111,421.79
  4. Step 4: Simplify right side
    208,915.44x = 34,903,207,754.43
  5. Step 5: Solve for x
    x = 34,903,207,754.43/208,915.44
  6. Step 6: Final answer
    x = 167,068.59

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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.