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Finding the Fourth Proportional to 208,031.50, 312,099.09 and 60,287.50

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Solution

The fourth proportional to 208,031.50, 312,099.09 and 60,287.50 is: 90,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,031.50 : 312,099.09 = 60,287.50 : x
  2. Step 2: Convert to fraction form
    208,031.50/312,099.09 = 60,287.50/x
  3. Step 3: Cross multiply
    208,031.50x = 312,099.09 × 60,287.50
  4. Step 4: Simplify right side
    208,031.50x = 18,815,673,888.38
  5. Step 5: Solve for x
    x = 18,815,673,888.38/208,031.50
  6. Step 6: Final answer
    x = 90,446.27

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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.