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Finding the Fourth Proportional to 153,849.69, 212,323.23 and 85,879.89

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Solution

The fourth proportional to 153,849.69, 212,323.23 and 85,879.89 is: 118,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,849.69 : 212,323.23 = 85,879.89 : x
  2. Step 2: Convert to fraction form
    153,849.69/212,323.23 = 85,879.89/x
  3. Step 3: Cross multiply
    153,849.69x = 212,323.23 × 85,879.89
  4. Step 4: Simplify right side
    153,849.69x = 18,234,295,636.84
  5. Step 5: Solve for x
    x = 18,234,295,636.84/153,849.69
  6. Step 6: Final answer
    x = 118,520.20

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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.