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Finding the Fourth Proportional to 200,658.64, 301,012.88 and 65,676.40

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Solution

The fourth proportional to 200,658.64, 301,012.88 and 65,676.40 is: 98,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,658.64 : 301,012.88 = 65,676.40 : x
  2. Step 2: Convert to fraction form
    200,658.64/301,012.88 = 65,676.40/x
  3. Step 3: Cross multiply
    200,658.64x = 301,012.88 × 65,676.40
  4. Step 4: Simplify right side
    200,658.64x = 19,769,442,312.03
  5. Step 5: Solve for x
    x = 19,769,442,312.03/200,658.64
  6. Step 6: Final answer
    x = 98,522.76

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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.