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Finding the Fourth Proportional to 209,702.07, 289,187.69 and 140,947.11

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Solution

The fourth proportional to 209,702.07, 289,187.69 and 140,947.11 is: 194,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,702.07 : 289,187.69 = 140,947.11 : x
  2. Step 2: Convert to fraction form
    209,702.07/289,187.69 = 140,947.11/x
  3. Step 3: Cross multiply
    209,702.07x = 289,187.69 × 140,947.11
  4. Step 4: Simplify right side
    209,702.07x = 40,760,168,448.34
  5. Step 5: Solve for x
    x = 40,760,168,448.34/209,702.07
  6. Step 6: Final answer
    x = 194,371.80

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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.