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Finding the Fourth Proportional to 129,809.30, 194,823.30 and 50,980.10

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Solution

The fourth proportional to 129,809.30, 194,823.30 and 50,980.10 is: 76,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,809.30 : 194,823.30 = 50,980.10 : x
  2. Step 2: Convert to fraction form
    129,809.30/194,823.30 = 50,980.10/x
  3. Step 3: Cross multiply
    129,809.30x = 194,823.30 × 50,980.10
  4. Step 4: Simplify right side
    129,809.30x = 9,932,111,316.33
  5. Step 5: Solve for x
    x = 9,932,111,316.33/129,809.30
  6. Step 6: Final answer
    x = 76,513.10

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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.