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Finding the Fourth Proportional to 129,628, 194,461.44 and 46,541.44

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Solution

The fourth proportional to 129,628, 194,461.44 and 46,541.44 is: 69,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,628 : 194,461.44 = 46,541.44 : x
  2. Step 2: Convert to fraction form
    129,628/194,461.44 = 46,541.44/x
  3. Step 3: Cross multiply
    129,628x = 194,461.44 × 46,541.44
  4. Step 4: Simplify right side
    129,628x = 9,050,515,442.07
  5. Step 5: Solve for x
    x = 9,050,515,442.07/129,628
  6. Step 6: Final answer
    x = 69,819.14

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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.