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Finding the Fourth Proportional to 103,109, 142,288 and 60,670.28

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Solution

The fourth proportional to 103,109, 142,288 and 60,670.28 is: 83,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,109 : 142,288 = 60,670.28 : x
  2. Step 2: Convert to fraction form
    103,109/142,288 = 60,670.28/x
  3. Step 3: Cross multiply
    103,109x = 142,288 × 60,670.28
  4. Step 4: Simplify right side
    103,109x = 8,632,652,800.64
  5. Step 5: Solve for x
    x = 8,632,652,800.64/103,109
  6. Step 6: Final answer
    x = 83,723.56

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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.