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Finding the Fourth Proportional to 81,422.65, 122,272.71 and 53,008.00

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Solution

The fourth proportional to 81,422.65, 122,272.71 and 53,008.00 is: 79,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,422.65 : 122,272.71 = 53,008.00 : x
  2. Step 2: Convert to fraction form
    81,422.65/122,272.71 = 53,008.00/x
  3. Step 3: Cross multiply
    81,422.65x = 122,272.71 × 53,008.00
  4. Step 4: Simplify right side
    81,422.65x = 6,481,432,442.26
  5. Step 5: Solve for x
    x = 6,481,432,442.26/81,422.65
  6. Step 6: Final answer
    x = 79,602.33

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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.