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Finding the Fourth Proportional to 209,784.80, 314,775.62 and 104,611.97

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Solution

The fourth proportional to 209,784.80, 314,775.62 and 104,611.97 is: 156,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,784.80 : 314,775.62 = 104,611.97 : x
  2. Step 2: Convert to fraction form
    209,784.80/314,775.62 = 104,611.97/x
  3. Step 3: Cross multiply
    209,784.80x = 314,775.62 × 104,611.97
  4. Step 4: Simplify right side
    209,784.80x = 32,929,295,619.23
  5. Step 5: Solve for x
    x = 32,929,295,619.23/209,784.80
  6. Step 6: Final answer
    x = 156,967.03

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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.