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Finding the Fourth Proportional to 66,288, 91,477.46 and 36,480

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Solution

The fourth proportional to 66,288, 91,477.46 and 36,480 is: 50,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,288 : 91,477.46 = 36,480 : x
  2. Step 2: Convert to fraction form
    66,288/91,477.46 = 36,480/x
  3. Step 3: Cross multiply
    66,288x = 91,477.46 × 36,480
  4. Step 4: Simplify right side
    66,288x = 3,337,097,558.40
  5. Step 5: Solve for x
    x = 3,337,097,558.40/66,288
  6. Step 6: Final answer
    x = 50,342.41

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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.