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Finding the Fourth Proportional to 212,306.81, 318,460.22 and 54,535.42

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Solution

The fourth proportional to 212,306.81, 318,460.22 and 54,535.42 is: 81,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,306.81 : 318,460.22 = 54,535.42 : x
  2. Step 2: Convert to fraction form
    212,306.81/318,460.22 = 54,535.42/x
  3. Step 3: Cross multiply
    212,306.81x = 318,460.22 × 54,535.42
  4. Step 4: Simplify right side
    212,306.81x = 17,367,359,986.01
  5. Step 5: Solve for x
    x = 17,367,359,986.01/212,306.81
  6. Step 6: Final answer
    x = 81,803.12

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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.