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Finding the Fourth Proportional to 254,201.52, 381,304.98 and 76,710.10

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Solution

The fourth proportional to 254,201.52, 381,304.98 and 76,710.10 is: 115,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,201.52 : 381,304.98 = 76,710.10 : x
  2. Step 2: Convert to fraction form
    254,201.52/381,304.98 = 76,710.10/x
  3. Step 3: Cross multiply
    254,201.52x = 381,304.98 × 76,710.10
  4. Step 4: Simplify right side
    254,201.52x = 29,249,943,146.30
  5. Step 5: Solve for x
    x = 29,249,943,146.30/254,201.52
  6. Step 6: Final answer
    x = 115,065.96

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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.