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Finding the Fourth Proportional to 254,835.92, 382,255.10 and 77,344.47

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Solution

The fourth proportional to 254,835.92, 382,255.10 and 77,344.47 is: 116,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,835.92 : 382,255.10 = 77,344.47 : x
  2. Step 2: Convert to fraction form
    254,835.92/382,255.10 = 77,344.47/x
  3. Step 3: Cross multiply
    254,835.92x = 382,255.10 × 77,344.47
  4. Step 4: Simplify right side
    254,835.92x = 29,565,318,114.30
  5. Step 5: Solve for x
    x = 29,565,318,114.30/254,835.92
  6. Step 6: Final answer
    x = 116,017.08

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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.