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Finding the Fourth Proportional to 209,699.80, 289,363.86 and 124,800.28

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Solution

The fourth proportional to 209,699.80, 289,363.86 and 124,800.28 is: 172,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,699.80 : 289,363.86 = 124,800.28 : x
  2. Step 2: Convert to fraction form
    209,699.80/289,363.86 = 124,800.28/x
  3. Step 3: Cross multiply
    209,699.80x = 289,363.86 × 124,800.28
  4. Step 4: Simplify right side
    209,699.80x = 36,112,690,749.88
  5. Step 5: Solve for x
    x = 36,112,690,749.88/209,699.80
  6. Step 6: Final answer
    x = 172,211.37

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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.