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Finding the Fourth Proportional to 66,362.49, 91,577 and 37,678.39

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Solution

The fourth proportional to 66,362.49, 91,577 and 37,678.39 is: 51,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,362.49 : 91,577 = 37,678.39 : x
  2. Step 2: Convert to fraction form
    66,362.49/91,577 = 37,678.39/x
  3. Step 3: Cross multiply
    66,362.49x = 91,577 × 37,678.39
  4. Step 4: Simplify right side
    66,362.49x = 3,450,473,921.03
  5. Step 5: Solve for x
    x = 3,450,473,921.03/66,362.49
  6. Step 6: Final answer
    x = 51,994.34

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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.