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Finding the Fourth Proportional to 208,060.64, 312,125.96 and 65,945.53

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Solution

The fourth proportional to 208,060.64, 312,125.96 and 65,945.53 is: 98,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,060.64 : 312,125.96 = 65,945.53 : x
  2. Step 2: Convert to fraction form
    208,060.64/312,125.96 = 65,945.53/x
  3. Step 3: Cross multiply
    208,060.64x = 312,125.96 × 65,945.53
  4. Step 4: Simplify right side
    208,060.64x = 20,583,311,858.96
  5. Step 5: Solve for x
    x = 20,583,311,858.96/208,060.64
  6. Step 6: Final answer
    x = 98,929.39

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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.