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Finding the Fourth Proportional to 194,672.16, 291,949.92 and 69,984

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Solution

The fourth proportional to 194,672.16, 291,949.92 and 69,984 is: 104,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,672.16 : 291,949.92 = 69,984 : x
  2. Step 2: Convert to fraction form
    194,672.16/291,949.92 = 69,984/x
  3. Step 3: Cross multiply
    194,672.16x = 291,949.92 × 69,984
  4. Step 4: Simplify right side
    194,672.16x = 20,431,823,201.28
  5. Step 5: Solve for x
    x = 20,431,823,201.28/194,672.16
  6. Step 6: Final answer
    x = 104,955.03

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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.