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Finding the Fourth Proportional to 209,508.66, 289,122.84 and 114,015.24

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Solution

The fourth proportional to 209,508.66, 289,122.84 and 114,015.24 is: 157,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,508.66 : 289,122.84 = 114,015.24 : x
  2. Step 2: Convert to fraction form
    209,508.66/289,122.84 = 114,015.24/x
  3. Step 3: Cross multiply
    209,508.66x = 289,122.84 × 114,015.24
  4. Step 4: Simplify right side
    209,508.66x = 32,964,409,992.08
  5. Step 5: Solve for x
    x = 32,964,409,992.08/209,508.66
  6. Step 6: Final answer
    x = 157,341.52

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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.