Home / 209,821.23-314,824.88-109,957.68

Finding the Fourth Proportional to 209,821.23, 314,824.88 and 109,957.68

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Solution

The fourth proportional to 209,821.23, 314,824.88 and 109,957.68 is: 164,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,821.23 : 314,824.88 = 109,957.68 : x
  2. Step 2: Convert to fraction form
    209,821.23/314,824.88 = 109,957.68/x
  3. Step 3: Cross multiply
    209,821.23x = 314,824.88 × 109,957.68
  4. Step 4: Simplify right side
    209,821.23x = 34,617,413,685.97
  5. Step 5: Solve for x
    x = 34,617,413,685.97/209,821.23
  6. Step 6: Final answer
    x = 164,985.28

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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.