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Finding the Fourth Proportional to 212,728.30, 318,746.85 and 133,701.10

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Solution

The fourth proportional to 212,728.30, 318,746.85 and 133,701.10 is: 200,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,728.30 : 318,746.85 = 133,701.10 : x
  2. Step 2: Convert to fraction form
    212,728.30/318,746.85 = 133,701.10/x
  3. Step 3: Cross multiply
    212,728.30x = 318,746.85 × 133,701.10
  4. Step 4: Simplify right side
    212,728.30x = 42,616,804,466.54
  5. Step 5: Solve for x
    x = 42,616,804,466.54/212,728.30
  6. Step 6: Final answer
    x = 200,334.44

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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.