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Finding the Fourth Proportional to 208,407.80, 312,638.20 and 66,202.34

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Solution

The fourth proportional to 208,407.80, 312,638.20 and 66,202.34 is: 99,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,407.80 : 312,638.20 = 66,202.34 : x
  2. Step 2: Convert to fraction form
    208,407.80/312,638.20 = 66,202.34/x
  3. Step 3: Cross multiply
    208,407.80x = 312,638.20 × 66,202.34
  4. Step 4: Simplify right side
    208,407.80x = 20,697,378,684.69
  5. Step 5: Solve for x
    x = 20,697,378,684.69/208,407.80
  6. Step 6: Final answer
    x = 99,311.92

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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.