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Finding the Fourth Proportional to 212,633.44, 318,950.87 and 145,871.21

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Solution

The fourth proportional to 212,633.44, 318,950.87 and 145,871.21 is: 218,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,633.44 : 318,950.87 = 145,871.21 : x
  2. Step 2: Convert to fraction form
    212,633.44/318,950.87 = 145,871.21/x
  3. Step 3: Cross multiply
    212,633.44x = 318,950.87 × 145,871.21
  4. Step 4: Simplify right side
    212,633.44x = 46,525,749,405.47
  5. Step 5: Solve for x
    x = 46,525,749,405.47/212,633.44
  6. Step 6: Final answer
    x = 218,807.30

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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.