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Finding the Fourth Proportional to 254,516.60, 381,677.70 and 76,964.60

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Solution

The fourth proportional to 254,516.60, 381,677.70 and 76,964.60 is: 115,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,516.60 : 381,677.70 = 76,964.60 : x
  2. Step 2: Convert to fraction form
    254,516.60/381,677.70 = 76,964.60/x
  3. Step 3: Cross multiply
    254,516.60x = 381,677.70 × 76,964.60
  4. Step 4: Simplify right side
    254,516.60x = 29,375,671,509.42
  5. Step 5: Solve for x
    x = 29,375,671,509.42/254,516.60
  6. Step 6: Final answer
    x = 115,417.51

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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.