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Finding the Fourth Proportional to 200,968.22, 301,498.32 and 87,135.05

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Solution

The fourth proportional to 200,968.22, 301,498.32 and 87,135.05 is: 130,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,968.22 : 301,498.32 = 87,135.05 : x
  2. Step 2: Convert to fraction form
    200,968.22/301,498.32 = 87,135.05/x
  3. Step 3: Cross multiply
    200,968.22x = 301,498.32 × 87,135.05
  4. Step 4: Simplify right side
    200,968.22x = 26,271,071,188.12
  5. Step 5: Solve for x
    x = 26,271,071,188.12/200,968.22
  6. Step 6: Final answer
    x = 130,722.52

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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.