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Finding the Fourth Proportional to 209,550.70, 288,978.96 and 140,795.65

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Solution

The fourth proportional to 209,550.70, 288,978.96 and 140,795.65 is: 194,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,550.70 : 288,978.96 = 140,795.65 : x
  2. Step 2: Convert to fraction form
    209,550.70/288,978.96 = 140,795.65/x
  3. Step 3: Cross multiply
    209,550.70x = 288,978.96 × 140,795.65
  4. Step 4: Simplify right side
    209,550.70x = 40,686,980,509.52
  5. Step 5: Solve for x
    x = 40,686,980,509.52/209,550.70
  6. Step 6: Final answer
    x = 194,162.94

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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.