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Finding the Fourth Proportional to 208,404.67, 312,633.50 and 66,199.21

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Solution

The fourth proportional to 208,404.67, 312,633.50 and 66,199.21 is: 99,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,404.67 : 312,633.50 = 66,199.21 : x
  2. Step 2: Convert to fraction form
    208,404.67/312,633.50 = 66,199.21/x
  3. Step 3: Cross multiply
    208,404.67x = 312,633.50 × 66,199.21
  4. Step 4: Simplify right side
    208,404.67x = 20,696,090,719.54
  5. Step 5: Solve for x
    x = 20,696,090,719.54/208,404.67
  6. Step 6: Final answer
    x = 99,307.23

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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.