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Finding the Fourth Proportional to 135,301.84, 186,736.36 and 77,930

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Solution

The fourth proportional to 135,301.84, 186,736.36 and 77,930 is: 107,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,301.84 : 186,736.36 = 77,930 : x
  2. Step 2: Convert to fraction form
    135,301.84/186,736.36 = 77,930/x
  3. Step 3: Cross multiply
    135,301.84x = 186,736.36 × 77,930
  4. Step 4: Simplify right side
    135,301.84x = 14,552,364,534.80
  5. Step 5: Solve for x
    x = 14,552,364,534.80/135,301.84
  6. Step 6: Final answer
    x = 107,554.82

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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.