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Finding the Fourth Proportional to 212,443.48, 318,681.60 and 54,673.48

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Solution

The fourth proportional to 212,443.48, 318,681.60 and 54,673.48 is: 82,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,443.48 : 318,681.60 = 54,673.48 : x
  2. Step 2: Convert to fraction form
    212,443.48/318,681.60 = 54,673.48/x
  3. Step 3: Cross multiply
    212,443.48x = 318,681.60 × 54,673.48
  4. Step 4: Simplify right side
    212,443.48x = 17,423,432,083.97
  5. Step 5: Solve for x
    x = 17,423,432,083.97/212,443.48
  6. Step 6: Final answer
    x = 82,014.44

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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.