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Finding the Fourth Proportional to 56,013, 84,021.12 and 14,460

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Solution

The fourth proportional to 56,013, 84,021.12 and 14,460 is: 21,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,013 : 84,021.12 = 14,460 : x
  2. Step 2: Convert to fraction form
    56,013/84,021.12 = 14,460/x
  3. Step 3: Cross multiply
    56,013x = 84,021.12 × 14,460
  4. Step 4: Simplify right side
    56,013x = 1,214,945,395.20
  5. Step 5: Solve for x
    x = 1,214,945,395.20/56,013
  6. Step 6: Final answer
    x = 21,690.42

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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.