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Finding the Fourth Proportional to 209,763.71, 289,471.30 and 114,268.35

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Solution

The fourth proportional to 209,763.71, 289,471.30 and 114,268.35 is: 157,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,763.71 : 289,471.30 = 114,268.35 : x
  2. Step 2: Convert to fraction form
    209,763.71/289,471.30 = 114,268.35/x
  3. Step 3: Cross multiply
    209,763.71x = 289,471.30 × 114,268.35
  4. Step 4: Simplify right side
    209,763.71x = 33,077,407,823.36
  5. Step 5: Solve for x
    x = 33,077,407,823.36/209,763.71
  6. Step 6: Final answer
    x = 157,688.90

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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.