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Finding the Fourth Proportional to 81,339.16, 122,020.14 and 25,184.08

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Solution

The fourth proportional to 81,339.16, 122,020.14 and 25,184.08 is: 37,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,339.16 : 122,020.14 = 25,184.08 : x
  2. Step 2: Convert to fraction form
    81,339.16/122,020.14 = 25,184.08/x
  3. Step 3: Cross multiply
    81,339.16x = 122,020.14 × 25,184.08
  4. Step 4: Simplify right side
    81,339.16x = 3,072,964,967.37
  5. Step 5: Solve for x
    x = 3,072,964,967.37/81,339.16
  6. Step 6: Final answer
    x = 37,779.65

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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.