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Finding the Fourth Proportional to 212,202.56, 318,303.92 and 54,431

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Solution

The fourth proportional to 212,202.56, 318,303.92 and 54,431 is: 81,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,202.56 : 318,303.92 = 54,431 : x
  2. Step 2: Convert to fraction form
    212,202.56/318,303.92 = 54,431/x
  3. Step 3: Cross multiply
    212,202.56x = 318,303.92 × 54,431
  4. Step 4: Simplify right side
    212,202.56x = 17,325,600,669.52
  5. Step 5: Solve for x
    x = 17,325,600,669.52/212,202.56
  6. Step 6: Final answer
    x = 81,646.52

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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.