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Finding the Fourth Proportional to 208,672.37, 312,972.20 and 96,342.98

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Solution

The fourth proportional to 208,672.37, 312,972.20 and 96,342.98 is: 144,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,672.37 : 312,972.20 = 96,342.98 : x
  2. Step 2: Convert to fraction form
    208,672.37/312,972.20 = 96,342.98/x
  3. Step 3: Cross multiply
    208,672.37x = 312,972.20 × 96,342.98
  4. Step 4: Simplify right side
    208,672.37x = 30,152,674,705.87
  5. Step 5: Solve for x
    x = 30,152,674,705.87/208,672.37
  6. Step 6: Final answer
    x = 144,497.69

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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.