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Finding the Fourth Proportional to 165,685.65, 248,364.45 and 81,376.80

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Solution

The fourth proportional to 165,685.65, 248,364.45 and 81,376.80 is: 121,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,685.65 : 248,364.45 = 81,376.80 : x
  2. Step 2: Convert to fraction form
    165,685.65/248,364.45 = 81,376.80/x
  3. Step 3: Cross multiply
    165,685.65x = 248,364.45 × 81,376.80
  4. Step 4: Simplify right side
    165,685.65x = 20,211,104,174.76
  5. Step 5: Solve for x
    x = 20,211,104,174.76/165,685.65
  6. Step 6: Final answer
    x = 121,984.64

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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.