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Finding the Fourth Proportional to 66,835, 92,232.30 and 39,978.64

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Solution

The fourth proportional to 66,835, 92,232.30 and 39,978.64 is: 55,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,835 : 92,232.30 = 39,978.64 : x
  2. Step 2: Convert to fraction form
    66,835/92,232.30 = 39,978.64/x
  3. Step 3: Cross multiply
    66,835x = 92,232.30 × 39,978.64
  4. Step 4: Simplify right side
    66,835x = 3,687,321,918.07
  5. Step 5: Solve for x
    x = 3,687,321,918.07/66,835
  6. Step 6: Final answer
    x = 55,170.52

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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.