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Finding the Fourth Proportional to 252,242.84, 378,365.61 and 74,751.39

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Solution

The fourth proportional to 252,242.84, 378,365.61 and 74,751.39 is: 112,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,242.84 : 378,365.61 = 74,751.39 : x
  2. Step 2: Convert to fraction form
    252,242.84/378,365.61 = 74,751.39/x
  3. Step 3: Cross multiply
    252,242.84x = 378,365.61 × 74,751.39
  4. Step 4: Simplify right side
    252,242.84x = 28,283,355,556.02
  5. Step 5: Solve for x
    x = 28,283,355,556.02/252,242.84
  6. Step 6: Final answer
    x = 112,127.49

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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.