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Finding the Fourth Proportional to 209,801.48, 289,516.02 and 119,145.48

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Solution

The fourth proportional to 209,801.48, 289,516.02 and 119,145.48 is: 164,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,801.48 : 289,516.02 = 119,145.48 : x
  2. Step 2: Convert to fraction form
    209,801.48/289,516.02 = 119,145.48/x
  3. Step 3: Cross multiply
    209,801.48x = 289,516.02 × 119,145.48
  4. Step 4: Simplify right side
    209,801.48x = 34,494,525,170.59
  5. Step 5: Solve for x
    x = 34,494,525,170.59/209,801.48
  6. Step 6: Final answer
    x = 164,415.07

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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.