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Finding the Fourth Proportional to 138,958.22, 208,333.64 and 65,068.94

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Solution

The fourth proportional to 138,958.22, 208,333.64 and 65,068.94 is: 97,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,958.22 : 208,333.64 = 65,068.94 : x
  2. Step 2: Convert to fraction form
    138,958.22/208,333.64 = 65,068.94/x
  3. Step 3: Cross multiply
    138,958.22x = 208,333.64 × 65,068.94
  4. Step 4: Simplify right side
    138,958.22x = 13,556,048,242.15
  5. Step 5: Solve for x
    x = 13,556,048,242.15/138,958.22
  6. Step 6: Final answer
    x = 97,554.85

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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.