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Finding the Fourth Proportional to 128,780, 193,149.24 and 35,263.88

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Solution

The fourth proportional to 128,780, 193,149.24 and 35,263.88 is: 52,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,780 : 193,149.24 = 35,263.88 : x
  2. Step 2: Convert to fraction form
    128,780/193,149.24 = 35,263.88/x
  3. Step 3: Cross multiply
    128,780x = 193,149.24 × 35,263.88
  4. Step 4: Simplify right side
    128,780x = 6,811,191,621.45
  5. Step 5: Solve for x
    x = 6,811,191,621.45/128,780
  6. Step 6: Final answer
    x = 52,890.14

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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.