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Finding the Fourth Proportional to 212,098.30, 318,130.90 and 123,295.16

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Solution

The fourth proportional to 212,098.30, 318,130.90 and 123,295.16 is: 184,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,098.30 : 318,130.90 = 123,295.16 : x
  2. Step 2: Convert to fraction form
    212,098.30/318,130.90 = 123,295.16/x
  3. Step 3: Cross multiply
    212,098.30x = 318,130.90 × 123,295.16
  4. Step 4: Simplify right side
    212,098.30x = 39,224,000,216.44
  5. Step 5: Solve for x
    x = 39,224,000,216.44/212,098.30
  6. Step 6: Final answer
    x = 184,933.12

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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.