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Finding the Fourth Proportional to 208,316.74, 312,491.30 and 68,089.54

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Solution

The fourth proportional to 208,316.74, 312,491.30 and 68,089.54 is: 102,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,316.74 : 312,491.30 = 68,089.54 : x
  2. Step 2: Convert to fraction form
    208,316.74/312,491.30 = 68,089.54/x
  3. Step 3: Cross multiply
    208,316.74x = 312,491.30 × 68,089.54
  4. Step 4: Simplify right side
    208,316.74x = 21,277,388,871.00
  5. Step 5: Solve for x
    x = 21,277,388,871.00/208,316.74
  6. Step 6: Final answer
    x = 102,139.60

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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.