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Finding the Fourth Proportional to 208,676.87, 312,978.95 and 96,347.48

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Solution

The fourth proportional to 208,676.87, 312,978.95 and 96,347.48 is: 144,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,676.87 : 312,978.95 = 96,347.48 : x
  2. Step 2: Convert to fraction form
    208,676.87/312,978.95 = 96,347.48/x
  3. Step 3: Cross multiply
    208,676.87x = 312,978.95 × 96,347.48
  4. Step 4: Simplify right side
    208,676.87x = 30,154,733,426.26
  5. Step 5: Solve for x
    x = 30,154,733,426.26/208,676.87
  6. Step 6: Final answer
    x = 144,504.44

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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.