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Finding the Fourth Proportional to 264,003.12, 395,962.56 and 76,970.88

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Solution

The fourth proportional to 264,003.12, 395,962.56 and 76,970.88 is: 115,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,003.12 : 395,962.56 = 76,970.88 : x
  2. Step 2: Convert to fraction form
    264,003.12/395,962.56 = 76,970.88/x
  3. Step 3: Cross multiply
    264,003.12x = 395,962.56 × 76,970.88
  4. Step 4: Simplify right side
    264,003.12x = 30,477,586,690.25
  5. Step 5: Solve for x
    x = 30,477,586,690.25/264,003.12
  6. Step 6: Final answer
    x = 115,444.04

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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.