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Finding the Fourth Proportional to 252,968.96, 379,494.40 and 77,824

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Solution

The fourth proportional to 252,968.96, 379,494.40 and 77,824 is: 116,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,968.96 : 379,494.40 = 77,824 : x
  2. Step 2: Convert to fraction form
    252,968.96/379,494.40 = 77,824/x
  3. Step 3: Cross multiply
    252,968.96x = 379,494.40 × 77,824
  4. Step 4: Simplify right side
    252,968.96x = 29,533,772,185.60
  5. Step 5: Solve for x
    x = 29,533,772,185.60/252,968.96
  6. Step 6: Final answer
    x = 116,748.60

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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.