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Finding the Fourth Proportional to 68,146.74, 102,296.79 and 28,737

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Solution

The fourth proportional to 68,146.74, 102,296.79 and 28,737 is: 43,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,146.74 : 102,296.79 = 28,737 : x
  2. Step 2: Convert to fraction form
    68,146.74/102,296.79 = 28,737/x
  3. Step 3: Cross multiply
    68,146.74x = 102,296.79 × 28,737
  4. Step 4: Simplify right side
    68,146.74x = 2,939,702,854.23
  5. Step 5: Solve for x
    x = 2,939,702,854.23/68,146.74
  6. Step 6: Final answer
    x = 43,137.84

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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.