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Finding the Fourth Proportional to 200,941.47, 301,458.20 and 87,108.30

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Solution

The fourth proportional to 200,941.47, 301,458.20 and 87,108.30 is: 130,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941.47 : 301,458.20 = 87,108.30 : x
  2. Step 2: Convert to fraction form
    200,941.47/301,458.20 = 87,108.30/x
  3. Step 3: Cross multiply
    200,941.47x = 301,458.20 × 87,108.30
  4. Step 4: Simplify right side
    200,941.47x = 26,259,510,887.52
  5. Step 5: Solve for x
    x = 26,259,510,887.52/200,941.47
  6. Step 6: Final answer
    x = 130,682.39

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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.