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Finding the Fourth Proportional to 84,821.98, 117,002.24 and 60,980.64

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Solution

The fourth proportional to 84,821.98, 117,002.24 and 60,980.64 is: 84,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,821.98 : 117,002.24 = 60,980.64 : x
  2. Step 2: Convert to fraction form
    84,821.98/117,002.24 = 60,980.64/x
  3. Step 3: Cross multiply
    84,821.98x = 117,002.24 × 60,980.64
  4. Step 4: Simplify right side
    84,821.98x = 7,134,870,586.72
  5. Step 5: Solve for x
    x = 7,134,870,586.72/84,821.98
  6. Step 6: Final answer
    x = 84,115.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.