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Finding the Fourth Proportional to 208,128.08, 312,191.70 and 160,811.93

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Solution

The fourth proportional to 208,128.08, 312,191.70 and 160,811.93 is: 241,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,128.08 : 312,191.70 = 160,811.93 : x
  2. Step 2: Convert to fraction form
    208,128.08/312,191.70 = 160,811.93/x
  3. Step 3: Cross multiply
    208,128.08x = 312,191.70 × 160,811.93
  4. Step 4: Simplify right side
    208,128.08x = 50,204,148,246.02
  5. Step 5: Solve for x
    x = 50,204,148,246.02/208,128.08
  6. Step 6: Final answer
    x = 241,217.57

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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.