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Finding the Fourth Proportional to 212,729.80, 318,749.10 and 133,702.60

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Solution

The fourth proportional to 212,729.80, 318,749.10 and 133,702.60 is: 200,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,729.80 : 318,749.10 = 133,702.60 : x
  2. Step 2: Convert to fraction form
    212,729.80/318,749.10 = 133,702.60/x
  3. Step 3: Cross multiply
    212,729.80x = 318,749.10 × 133,702.60
  4. Step 4: Simplify right side
    212,729.80x = 42,617,583,417.66
  5. Step 5: Solve for x
    x = 42,617,583,417.66/212,729.80
  6. Step 6: Final answer
    x = 200,336.69

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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.