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Finding the Fourth Proportional to 212,098.61, 318,131.37 and 123,295.48

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Solution

The fourth proportional to 212,098.61, 318,131.37 and 123,295.48 is: 184,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,098.61 : 318,131.37 = 123,295.48 : x
  2. Step 2: Convert to fraction form
    212,098.61/318,131.37 = 123,295.48/x
  3. Step 3: Cross multiply
    212,098.61x = 318,131.37 × 123,295.48
  4. Step 4: Simplify right side
    212,098.61x = 39,224,159,634.24
  5. Step 5: Solve for x
    x = 39,224,159,634.24/212,098.61
  6. Step 6: Final answer
    x = 184,933.60

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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.