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Finding the Fourth Proportional to 78,134.64, 117,149.88 and 25,525.68

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Solution

The fourth proportional to 78,134.64, 117,149.88 and 25,525.68 is: 38,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.64 : 117,149.88 = 25,525.68 : x
  2. Step 2: Convert to fraction form
    78,134.64/117,149.88 = 25,525.68/x
  3. Step 3: Cross multiply
    78,134.64x = 117,149.88 × 25,525.68
  4. Step 4: Simplify right side
    78,134.64x = 2,990,330,348.92
  5. Step 5: Solve for x
    x = 2,990,330,348.92/78,134.64
  6. Step 6: Final answer
    x = 38,271.51

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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.