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Finding the Fourth Proportional to 139,924.97, 193,100.51 and 76,266.89

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Solution

The fourth proportional to 139,924.97, 193,100.51 and 76,266.89 is: 105,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,924.97 : 193,100.51 = 76,266.89 : x
  2. Step 2: Convert to fraction form
    139,924.97/193,100.51 = 76,266.89/x
  3. Step 3: Cross multiply
    139,924.97x = 193,100.51 × 76,266.89
  4. Step 4: Simplify right side
    139,924.97x = 14,727,174,973.78
  5. Step 5: Solve for x
    x = 14,727,174,973.78/139,924.97
  6. Step 6: Final answer
    x = 105,250.51

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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.