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Finding the Fourth Proportional to 209,891.31, 314,886.21 and 83,539.23

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Solution

The fourth proportional to 209,891.31, 314,886.21 and 83,539.23 is: 125,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,891.31 : 314,886.21 = 83,539.23 : x
  2. Step 2: Convert to fraction form
    209,891.31/314,886.21 = 83,539.23/x
  3. Step 3: Cross multiply
    209,891.31x = 314,886.21 × 83,539.23
  4. Step 4: Simplify right side
    209,891.31x = 26,305,351,521.02
  5. Step 5: Solve for x
    x = 26,305,351,521.02/209,891.31
  6. Step 6: Final answer
    x = 125,328.45

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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.