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Finding the Fourth Proportional to 129,754.40, 194,631.60 and 46,656.80

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Solution

The fourth proportional to 129,754.40, 194,631.60 and 46,656.80 is: 69,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,754.40 : 194,631.60 = 46,656.80 : x
  2. Step 2: Convert to fraction form
    129,754.40/194,631.60 = 46,656.80/x
  3. Step 3: Cross multiply
    129,754.40x = 194,631.60 × 46,656.80
  4. Step 4: Simplify right side
    129,754.40x = 9,080,887,634.88
  5. Step 5: Solve for x
    x = 9,080,887,634.88/129,754.40
  6. Step 6: Final answer
    x = 69,985.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.