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Finding the Fourth Proportional to 208,237.83, 312,485.27 and 81,855.96

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Solution

The fourth proportional to 208,237.83, 312,485.27 and 81,855.96 is: 122,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,237.83 : 312,485.27 = 81,855.96 : x
  2. Step 2: Convert to fraction form
    208,237.83/312,485.27 = 81,855.96/x
  3. Step 3: Cross multiply
    208,237.83x = 312,485.27 × 81,855.96
  4. Step 4: Simplify right side
    208,237.83x = 25,578,781,352.43
  5. Step 5: Solve for x
    x = 25,578,781,352.43/208,237.83
  6. Step 6: Final answer
    x = 122,834.46

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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.