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Finding the Fourth Proportional to 254,764.16, 382,147.16 and 77,272.72

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Solution

The fourth proportional to 254,764.16, 382,147.16 and 77,272.72 is: 115,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,764.16 : 382,147.16 = 77,272.72 : x
  2. Step 2: Convert to fraction form
    254,764.16/382,147.16 = 77,272.72/x
  3. Step 3: Cross multiply
    254,764.16x = 382,147.16 × 77,272.72
  4. Step 4: Simplify right side
    254,764.16x = 29,529,550,493.48
  5. Step 5: Solve for x
    x = 29,529,550,493.48/254,764.16
  6. Step 6: Final answer
    x = 115,909.36

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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.