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Finding the Fourth Proportional to 75,324, 112,985.97 and 28,576.88

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Solution

The fourth proportional to 75,324, 112,985.97 and 28,576.88 is: 42,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,324 : 112,985.97 = 28,576.88 : x
  2. Step 2: Convert to fraction form
    75,324/112,985.97 = 28,576.88/x
  3. Step 3: Cross multiply
    75,324x = 112,985.97 × 28,576.88
  4. Step 4: Simplify right side
    75,324x = 3,228,786,506.37
  5. Step 5: Solve for x
    x = 3,228,786,506.37/75,324
  6. Step 6: Final answer
    x = 42,865.31

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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.