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Finding the Fourth Proportional to 54,978.40, 82,467.60 and 40,981.60

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Solution

The fourth proportional to 54,978.40, 82,467.60 and 40,981.60 is: 61,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.40 : 82,467.60 = 40,981.60 : x
  2. Step 2: Convert to fraction form
    54,978.40/82,467.60 = 40,981.60/x
  3. Step 3: Cross multiply
    54,978.40x = 82,467.60 × 40,981.60
  4. Step 4: Simplify right side
    54,978.40x = 3,379,654,196.16
  5. Step 5: Solve for x
    x = 3,379,654,196.16/54,978.40
  6. Step 6: Final answer
    x = 61,472.40

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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.