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Finding the Fourth Proportional to 208,972.80, 312,940.80 and 167,500.80

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Solution

The fourth proportional to 208,972.80, 312,940.80 and 167,500.80 is: 250,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,972.80 : 312,940.80 = 167,500.80 : x
  2. Step 2: Convert to fraction form
    208,972.80/312,940.80 = 167,500.80/x
  3. Step 3: Cross multiply
    208,972.80x = 312,940.80 × 167,500.80
  4. Step 4: Simplify right side
    208,972.80x = 52,417,834,352.64
  5. Step 5: Solve for x
    x = 52,417,834,352.64/208,972.80
  6. Step 6: Final answer
    x = 250,835.68

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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.