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Finding the Fourth Proportional to 208,399.35, 312,566.28 and 66,225.89

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Solution

The fourth proportional to 208,399.35, 312,566.28 and 66,225.89 is: 99,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,399.35 : 312,566.28 = 66,225.89 : x
  2. Step 2: Convert to fraction form
    208,399.35/312,566.28 = 66,225.89/x
  3. Step 3: Cross multiply
    208,399.35x = 312,566.28 × 66,225.89
  4. Step 4: Simplify right side
    208,399.35x = 20,699,978,514.16
  5. Step 5: Solve for x
    x = 20,699,978,514.16/208,399.35
  6. Step 6: Final answer
    x = 99,328.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.