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Finding the Fourth Proportional to 212,082.63, 318,040.21 and 85,699.01

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Solution

The fourth proportional to 212,082.63, 318,040.21 and 85,699.01 is: 128,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082.63 : 318,040.21 = 85,699.01 : x
  2. Step 2: Convert to fraction form
    212,082.63/318,040.21 = 85,699.01/x
  3. Step 3: Cross multiply
    212,082.63x = 318,040.21 × 85,699.01
  4. Step 4: Simplify right side
    212,082.63x = 27,255,731,137.19
  5. Step 5: Solve for x
    x = 27,255,731,137.19/212,082.63
  6. Step 6: Final answer
    x = 128,514.68

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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.