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Finding the Fourth Proportional to 208,315.48, 312,489.42 and 68,088.28

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Solution

The fourth proportional to 208,315.48, 312,489.42 and 68,088.28 is: 102,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,315.48 : 312,489.42 = 68,088.28 : x
  2. Step 2: Convert to fraction form
    208,315.48/312,489.42 = 68,088.28/x
  3. Step 3: Cross multiply
    208,315.48x = 312,489.42 × 68,088.28
  4. Step 4: Simplify right side
    208,315.48x = 21,276,867,126.00
  5. Step 5: Solve for x
    x = 21,276,867,126.00/208,315.48
  6. Step 6: Final answer
    x = 102,137.71

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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.