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Finding the Fourth Proportional to 208,531.08, 312,818.49 and 68,300.64

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Solution

The fourth proportional to 208,531.08, 312,818.49 and 68,300.64 is: 102,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,531.08 : 312,818.49 = 68,300.64 : x
  2. Step 2: Convert to fraction form
    208,531.08/312,818.49 = 68,300.64/x
  3. Step 3: Cross multiply
    208,531.08x = 312,818.49 × 68,300.64
  4. Step 4: Simplify right side
    208,531.08x = 21,365,703,070.83
  5. Step 5: Solve for x
    x = 21,365,703,070.83/208,531.08
  6. Step 6: Final answer
    x = 102,458.12

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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.