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Finding the Fourth Proportional to 209,487.60, 289,090.45 and 113,992.65

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Solution

The fourth proportional to 209,487.60, 289,090.45 and 113,992.65 is: 157,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,487.60 : 289,090.45 = 113,992.65 : x
  2. Step 2: Convert to fraction form
    209,487.60/289,090.45 = 113,992.65/x
  3. Step 3: Cross multiply
    209,487.60x = 289,090.45 × 113,992.65
  4. Step 4: Simplify right side
    209,487.60x = 32,954,185,039.74
  5. Step 5: Solve for x
    x = 32,954,185,039.74/209,487.60
  6. Step 6: Final answer
    x = 157,308.53

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1.5x scale

Why These Related Problems?

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