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Finding the Fourth Proportional to 178,520.72, 246,361.02 and 97,946.78

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Solution

The fourth proportional to 178,520.72, 246,361.02 and 97,946.78 is: 135,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,520.72 : 246,361.02 = 97,946.78 : x
  2. Step 2: Convert to fraction form
    178,520.72/246,361.02 = 97,946.78/x
  3. Step 3: Cross multiply
    178,520.72x = 246,361.02 × 97,946.78
  4. Step 4: Simplify right side
    178,520.72x = 24,130,268,626.52
  5. Step 5: Solve for x
    x = 24,130,268,626.52/178,520.72
  6. Step 6: Final answer
    x = 135,167.89

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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.