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Finding the Fourth Proportional to 212,012.64, 318,059.46 and 69,898.86

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Solution

The fourth proportional to 212,012.64, 318,059.46 and 69,898.86 is: 104,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,012.64 : 318,059.46 = 69,898.86 : x
  2. Step 2: Convert to fraction form
    212,012.64/318,059.46 = 69,898.86/x
  3. Step 3: Cross multiply
    212,012.64x = 318,059.46 × 69,898.86
  4. Step 4: Simplify right side
    212,012.64x = 22,231,993,666.22
  5. Step 5: Solve for x
    x = 22,231,993,666.22/212,012.64
  6. Step 6: Final answer
    x = 104,861.64

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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.