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Finding the Fourth Proportional to 209,958.88, 314,988 and 83,606.44

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Solution

The fourth proportional to 209,958.88, 314,988 and 83,606.44 is: 125,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,958.88 : 314,988 = 83,606.44 : x
  2. Step 2: Convert to fraction form
    209,958.88/314,988 = 83,606.44/x
  3. Step 3: Cross multiply
    209,958.88x = 314,988 × 83,606.44
  4. Step 4: Simplify right side
    209,958.88x = 26,335,025,322.72
  5. Step 5: Solve for x
    x = 26,335,025,322.72/209,958.88
  6. Step 6: Final answer
    x = 125,429.44

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1.5x scale

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.