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Finding the Fourth Proportional to 208,050.12, 312,157.80 and 67,809.96

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Solution

The fourth proportional to 208,050.12, 312,157.80 and 67,809.96 is: 101,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,050.12 : 312,157.80 = 67,809.96 : x
  2. Step 2: Convert to fraction form
    208,050.12/312,157.80 = 67,809.96/x
  3. Step 3: Cross multiply
    208,050.12x = 312,157.80 × 67,809.96
  4. Step 4: Simplify right side
    208,050.12x = 21,167,407,931.69
  5. Step 5: Solve for x
    x = 21,167,407,931.69/208,050.12
  6. Step 6: Final answer
    x = 101,741.87

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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.