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Finding the Fourth Proportional to 66,462, 91,718.37 and 38,170.32

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Solution

The fourth proportional to 66,462, 91,718.37 and 38,170.32 is: 52,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,462 : 91,718.37 = 38,170.32 : x
  2. Step 2: Convert to fraction form
    66,462/91,718.37 = 38,170.32/x
  3. Step 3: Cross multiply
    66,462x = 91,718.37 × 38,170.32
  4. Step 4: Simplify right side
    66,462x = 3,500,919,532.78
  5. Step 5: Solve for x
    x = 3,500,919,532.78/66,462
  6. Step 6: Final answer
    x = 52,675.51

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1.5x scale

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.