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Finding the Fourth Proportional to 209,888.42, 314,879.40 and 76,765.73

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Solution

The fourth proportional to 209,888.42, 314,879.40 and 76,765.73 is: 115,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,888.42 : 314,879.40 = 76,765.73 : x
  2. Step 2: Convert to fraction form
    209,888.42/314,879.40 = 76,765.73/x
  3. Step 3: Cross multiply
    209,888.42x = 314,879.40 × 76,765.73
  4. Step 4: Simplify right side
    209,888.42x = 24,171,945,428.57
  5. Step 5: Solve for x
    x = 24,171,945,428.57/209,888.42
  6. Step 6: Final answer
    x = 115,165.70

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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.