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Finding the Fourth Proportional to 128,715.95, 193,053.27 and 35,199.83

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Solution

The fourth proportional to 128,715.95, 193,053.27 and 35,199.83 is: 52,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,715.95 : 193,053.27 = 35,199.83 : x
  2. Step 2: Convert to fraction form
    128,715.95/193,053.27 = 35,199.83/x
  3. Step 3: Cross multiply
    128,715.95x = 193,053.27 × 35,199.83
  4. Step 4: Simplify right side
    128,715.95x = 6,795,442,284.94
  5. Step 5: Solve for x
    x = 6,795,442,284.94/128,715.95
  6. Step 6: Final answer
    x = 52,794.10

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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.