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Finding the Fourth Proportional to 139,292.67, 208,971.45 and 110,937

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Solution

The fourth proportional to 139,292.67, 208,971.45 and 110,937 is: 166,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,292.67 : 208,971.45 = 110,937 : x
  2. Step 2: Convert to fraction form
    139,292.67/208,971.45 = 110,937/x
  3. Step 3: Cross multiply
    139,292.67x = 208,971.45 × 110,937
  4. Step 4: Simplify right side
    139,292.67x = 23,182,665,748.65
  5. Step 5: Solve for x
    x = 23,182,665,748.65/139,292.67
  6. Step 6: Final answer
    x = 166,431.34

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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.