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Finding the Fourth Proportional to 274,705.98, 411,974.19 and 97,172.16

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Solution

The fourth proportional to 274,705.98, 411,974.19 and 97,172.16 is: 145,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,705.98 : 411,974.19 = 97,172.16 : x
  2. Step 2: Convert to fraction form
    274,705.98/411,974.19 = 97,172.16/x
  3. Step 3: Cross multiply
    274,705.98x = 411,974.19 × 97,172.16
  4. Step 4: Simplify right side
    274,705.98x = 40,032,421,906.55
  5. Step 5: Solve for x
    x = 40,032,421,906.55/274,705.98
  6. Step 6: Final answer
    x = 145,728.25

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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.