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Finding the Fourth Proportional to 212,037.98, 318,096.36 and 69,893.22

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Solution

The fourth proportional to 212,037.98, 318,096.36 and 69,893.22 is: 104,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,037.98 : 318,096.36 = 69,893.22 : x
  2. Step 2: Convert to fraction form
    212,037.98/318,096.36 = 69,893.22/x
  3. Step 3: Cross multiply
    212,037.98x = 318,096.36 × 69,893.22
  4. Step 4: Simplify right side
    212,037.98x = 22,232,778,870.68
  5. Step 5: Solve for x
    x = 22,232,778,870.68/212,037.98
  6. Step 6: Final answer
    x = 104,852.82

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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.