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Finding the Fourth Proportional to 194,664, 268,675.44 and 109,782.72

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Solution

The fourth proportional to 194,664, 268,675.44 and 109,782.72 is: 151,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,664 : 268,675.44 = 109,782.72 : x
  2. Step 2: Convert to fraction form
    194,664/268,675.44 = 109,782.72/x
  3. Step 3: Cross multiply
    194,664x = 268,675.44 × 109,782.72
  4. Step 4: Simplify right side
    194,664x = 29,495,920,600.40
  5. Step 5: Solve for x
    x = 29,495,920,600.40/194,664
  6. Step 6: Final answer
    x = 151,522.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.