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Finding the Fourth Proportional to 101,102.41, 151,588.73 and 41,978.89

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Solution

The fourth proportional to 101,102.41, 151,588.73 and 41,978.89 is: 62,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,102.41 : 151,588.73 = 41,978.89 : x
  2. Step 2: Convert to fraction form
    101,102.41/151,588.73 = 41,978.89/x
  3. Step 3: Cross multiply
    101,102.41x = 151,588.73 × 41,978.89
  4. Step 4: Simplify right side
    101,102.41x = 6,363,526,621.91
  5. Step 5: Solve for x
    x = 6,363,526,621.91/101,102.41
  6. Step 6: Final answer
    x = 62,941.39

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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.