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Finding the Fourth Proportional to 209,903.86, 289,675.16 and 119,275.21

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Solution

The fourth proportional to 209,903.86, 289,675.16 and 119,275.21 is: 164,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,903.86 : 289,675.16 = 119,275.21 : x
  2. Step 2: Convert to fraction form
    209,903.86/289,675.16 = 119,275.21/x
  3. Step 3: Cross multiply
    209,903.86x = 289,675.16 × 119,275.21
  4. Step 4: Simplify right side
    209,903.86x = 34,551,065,540.78
  5. Step 5: Solve for x
    x = 34,551,065,540.78/209,903.86
  6. Step 6: Final answer
    x = 164,604.24

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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.