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Finding the Fourth Proportional to 155,243.57, 232,791.64 and 70,978.73

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Solution

The fourth proportional to 155,243.57, 232,791.64 and 70,978.73 is: 106,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,243.57 : 232,791.64 = 70,978.73 : x
  2. Step 2: Convert to fraction form
    155,243.57/232,791.64 = 70,978.73/x
  3. Step 3: Cross multiply
    155,243.57x = 232,791.64 × 70,978.73
  4. Step 4: Simplify right side
    155,243.57x = 16,523,254,961.82
  5. Step 5: Solve for x
    x = 16,523,254,961.82/155,243.57
  6. Step 6: Final answer
    x = 106,434.39

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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.