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Finding the Fourth Proportional to 208,311.75, 312,482.25 and 83,652.75

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Solution

The fourth proportional to 208,311.75, 312,482.25 and 83,652.75 is: 125,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.75 : 312,482.25 = 83,652.75 : x
  2. Step 2: Convert to fraction form
    208,311.75/312,482.25 = 83,652.75/x
  3. Step 3: Cross multiply
    208,311.75x = 312,482.25 × 83,652.75
  4. Step 4: Simplify right side
    208,311.75x = 26,139,999,538.69
  5. Step 5: Solve for x
    x = 26,139,999,538.69/208,311.75
  6. Step 6: Final answer
    x = 125,485.00

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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.