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Finding the Fourth Proportional to 68,429.52, 102,465.12 and 55,031.28

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Solution

The fourth proportional to 68,429.52, 102,465.12 and 55,031.28 is: 82,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,429.52 : 102,465.12 = 55,031.28 : x
  2. Step 2: Convert to fraction form
    68,429.52/102,465.12 = 55,031.28/x
  3. Step 3: Cross multiply
    68,429.52x = 102,465.12 × 55,031.28
  4. Step 4: Simplify right side
    68,429.52x = 5,638,786,708.95
  5. Step 5: Solve for x
    x = 5,638,786,708.95/68,429.52
  6. Step 6: Final answer
    x = 82,402.84

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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.