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Finding the Fourth Proportional to 200,142.70, 300,235 and 65,217.24

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Solution

The fourth proportional to 200,142.70, 300,235 and 65,217.24 is: 97,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,142.70 : 300,235 = 65,217.24 : x
  2. Step 2: Convert to fraction form
    200,142.70/300,235 = 65,217.24/x
  3. Step 3: Cross multiply
    200,142.70x = 300,235 × 65,217.24
  4. Step 4: Simplify right side
    200,142.70x = 19,580,498,051.40
  5. Step 5: Solve for x
    x = 19,580,498,051.40/200,142.70
  6. Step 6: Final answer
    x = 97,832.69

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1.5x scale

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.