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Finding the Fourth Proportional to 200,820.90, 301,021.17 and 67,655.15

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Solution

The fourth proportional to 200,820.90, 301,021.17 and 67,655.15 is: 101,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,820.90 : 301,021.17 = 67,655.15 : x
  2. Step 2: Convert to fraction form
    200,820.90/301,021.17 = 67,655.15/x
  3. Step 3: Cross multiply
    200,820.90x = 301,021.17 × 67,655.15
  4. Step 4: Simplify right side
    200,820.90x = 20,365,630,904.42
  5. Step 5: Solve for x
    x = 20,365,630,904.42/200,820.90
  6. Step 6: Final answer
    x = 101,411.91

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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.