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Finding the Fourth Proportional to 209,485.14, 289,095.58 and 113,997.98

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Solution

The fourth proportional to 209,485.14, 289,095.58 and 113,997.98 is: 157,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,485.14 : 289,095.58 = 113,997.98 : x
  2. Step 2: Convert to fraction form
    209,485.14/289,095.58 = 113,997.98/x
  3. Step 3: Cross multiply
    209,485.14x = 289,095.58 × 113,997.98
  4. Step 4: Simplify right side
    209,485.14x = 32,956,313,012.16
  5. Step 5: Solve for x
    x = 32,956,313,012.16/209,485.14
  6. Step 6: Final answer
    x = 157,320.53

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