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Finding the Fourth Proportional to 212,310, 318,463.56 and 54,538.56

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Solution

The fourth proportional to 212,310, 318,463.56 and 54,538.56 is: 81,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,310 : 318,463.56 = 54,538.56 : x
  2. Step 2: Convert to fraction form
    212,310/318,463.56 = 54,538.56/x
  3. Step 3: Cross multiply
    212,310x = 318,463.56 × 54,538.56
  4. Step 4: Simplify right side
    212,310x = 17,368,543,974.87
  5. Step 5: Solve for x
    x = 17,368,543,974.87/212,310
  6. Step 6: Final answer
    x = 81,807.47

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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.