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Finding the Fourth Proportional to 66,138.60, 91,266.52 and 37,450

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Solution

The fourth proportional to 66,138.60, 91,266.52 and 37,450 is: 51,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,138.60 : 91,266.52 = 37,450 : x
  2. Step 2: Convert to fraction form
    66,138.60/91,266.52 = 37,450/x
  3. Step 3: Cross multiply
    66,138.60x = 91,266.52 × 37,450
  4. Step 4: Simplify right side
    66,138.60x = 3,417,931,174
  5. Step 5: Solve for x
    x = 3,417,931,174/66,138.60
  6. Step 6: Final answer
    x = 51,678.31

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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.