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Finding the Fourth Proportional to 254,200.52, 381,303.48 and 76,709.09

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Solution

The fourth proportional to 254,200.52, 381,303.48 and 76,709.09 is: 115,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,200.52 : 381,303.48 = 76,709.09 : x
  2. Step 2: Convert to fraction form
    254,200.52/381,303.48 = 76,709.09/x
  3. Step 3: Cross multiply
    254,200.52x = 381,303.48 × 76,709.09
  4. Step 4: Simplify right side
    254,200.52x = 29,249,442,964.63
  5. Step 5: Solve for x
    x = 29,249,442,964.63/254,200.52
  6. Step 6: Final answer
    x = 115,064.45

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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.