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Finding the Fourth Proportional to 209,058.44, 288,620.28 and 137,646

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Solution

The fourth proportional to 209,058.44, 288,620.28 and 137,646 is: 190,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,058.44 : 288,620.28 = 137,646 : x
  2. Step 2: Convert to fraction form
    209,058.44/288,620.28 = 137,646/x
  3. Step 3: Cross multiply
    209,058.44x = 288,620.28 × 137,646
  4. Step 4: Simplify right side
    209,058.44x = 39,727,427,060.88
  5. Step 5: Solve for x
    x = 39,727,427,060.88/209,058.44
  6. Step 6: Final answer
    x = 190,030.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.