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Finding the Fourth Proportional to 194,682, 292,054.60 and 76,289.16

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Solution

The fourth proportional to 194,682, 292,054.60 and 76,289.16 is: 114,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,682 : 292,054.60 = 76,289.16 : x
  2. Step 2: Convert to fraction form
    194,682/292,054.60 = 76,289.16/x
  3. Step 3: Cross multiply
    194,682x = 292,054.60 × 76,289.16
  4. Step 4: Simplify right side
    194,682x = 22,280,600,108.14
  5. Step 5: Solve for x
    x = 22,280,600,108.14/194,682
  6. Step 6: Final answer
    x = 114,446.12

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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.