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Finding the Fourth Proportional to 54,321.80, 81,482.70 and 30,702.20

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Solution

The fourth proportional to 54,321.80, 81,482.70 and 30,702.20 is: 46,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,321.80 : 81,482.70 = 30,702.20 : x
  2. Step 2: Convert to fraction form
    54,321.80/81,482.70 = 30,702.20/x
  3. Step 3: Cross multiply
    54,321.80x = 81,482.70 × 30,702.20
  4. Step 4: Simplify right side
    54,321.80x = 2,501,698,151.94
  5. Step 5: Solve for x
    x = 2,501,698,151.94/54,321.80
  6. Step 6: Final answer
    x = 46,053.30

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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.