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Finding the Fourth Proportional to 212,368.58, 318,700.42 and 137,302.54

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Solution

The fourth proportional to 212,368.58, 318,700.42 and 137,302.54 is: 206,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368.58 : 318,700.42 = 137,302.54 : x
  2. Step 2: Convert to fraction form
    212,368.58/318,700.42 = 137,302.54/x
  3. Step 3: Cross multiply
    212,368.58x = 318,700.42 × 137,302.54
  4. Step 4: Simplify right side
    212,368.58x = 43,758,374,885.05
  5. Step 5: Solve for x
    x = 43,758,374,885.05/212,368.58
  6. Step 6: Final answer
    x = 206,049.19

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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.