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Finding the Fourth Proportional to 209,774.12, 314,935.60 and 124,540.60

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Solution

The fourth proportional to 209,774.12, 314,935.60 and 124,540.60 is: 186,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,774.12 : 314,935.60 = 124,540.60 : x
  2. Step 2: Convert to fraction form
    209,774.12/314,935.60 = 124,540.60/x
  3. Step 3: Cross multiply
    209,774.12x = 314,935.60 × 124,540.60
  4. Step 4: Simplify right side
    209,774.12x = 39,222,268,585.36
  5. Step 5: Solve for x
    x = 39,222,268,585.36/209,774.12
  6. Step 6: Final answer
    x = 186,973.82

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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.