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Finding the Fourth Proportional to 68,953.20, 103,415.28 and 31,502.64

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Solution

The fourth proportional to 68,953.20, 103,415.28 and 31,502.64 is: 47,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,953.20 : 103,415.28 = 31,502.64 : x
  2. Step 2: Convert to fraction form
    68,953.20/103,415.28 = 31,502.64/x
  3. Step 3: Cross multiply
    68,953.20x = 103,415.28 × 31,502.64
  4. Step 4: Simplify right side
    68,953.20x = 3,257,854,336.34
  5. Step 5: Solve for x
    x = 3,257,854,336.34/68,953.20
  6. Step 6: Final answer
    x = 47,247.33

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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.