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Finding the Fourth Proportional to 81,573.52, 122,287.80 and 28,976.08

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Solution

The fourth proportional to 81,573.52, 122,287.80 and 28,976.08 is: 43,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,573.52 : 122,287.80 = 28,976.08 : x
  2. Step 2: Convert to fraction form
    81,573.52/122,287.80 = 28,976.08/x
  3. Step 3: Cross multiply
    81,573.52x = 122,287.80 × 28,976.08
  4. Step 4: Simplify right side
    81,573.52x = 3,543,421,075.82
  5. Step 5: Solve for x
    x = 3,543,421,075.82/81,573.52
  6. Step 6: Final answer
    x = 43,438.37

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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.