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Finding the Fourth Proportional to 208,245.96, 312,369.96 and 64,150.12

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Solution

The fourth proportional to 208,245.96, 312,369.96 and 64,150.12 is: 96,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,245.96 : 312,369.96 = 64,150.12 : x
  2. Step 2: Convert to fraction form
    208,245.96/312,369.96 = 64,150.12/x
  3. Step 3: Cross multiply
    208,245.96x = 312,369.96 × 64,150.12
  4. Step 4: Simplify right side
    208,245.96x = 20,038,570,418.40
  5. Step 5: Solve for x
    x = 20,038,570,418.40/208,245.96
  6. Step 6: Final answer
    x = 96,225.49

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1.5x scale

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.