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Finding the Fourth Proportional to 67,257.60, 100,763.40 and 31,748.28

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Solution

The fourth proportional to 67,257.60, 100,763.40 and 31,748.28 is: 47,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257.60 : 100,763.40 = 31,748.28 : x
  2. Step 2: Convert to fraction form
    67,257.60/100,763.40 = 31,748.28/x
  3. Step 3: Cross multiply
    67,257.60x = 100,763.40 × 31,748.28
  4. Step 4: Simplify right side
    67,257.60x = 3,199,064,636.95
  5. Step 5: Solve for x
    x = 3,199,064,636.95/67,257.60
  6. Step 6: Final answer
    x = 47,564.36

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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.