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Finding the Fourth Proportional to 194,685, 292,059.12 and 76,292.16

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Solution

The fourth proportional to 194,685, 292,059.12 and 76,292.16 is: 114,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,685 : 292,059.12 = 76,292.16 : x
  2. Step 2: Convert to fraction form
    194,685/292,059.12 = 76,292.16/x
  3. Step 3: Cross multiply
    194,685x = 292,059.12 × 76,292.16
  4. Step 4: Simplify right side
    194,685x = 22,281,821,112.50
  5. Step 5: Solve for x
    x = 22,281,821,112.50/194,685
  6. Step 6: Final answer
    x = 114,450.63

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1.5x scale

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.