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Finding the Fourth Proportional to 128,711.58, 193,076.01 and 35,218.14

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Solution

The fourth proportional to 128,711.58, 193,076.01 and 35,218.14 is: 52,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,711.58 : 193,076.01 = 35,218.14 : x
  2. Step 2: Convert to fraction form
    128,711.58/193,076.01 = 35,218.14/x
  3. Step 3: Cross multiply
    128,711.58x = 193,076.01 × 35,218.14
  4. Step 4: Simplify right side
    128,711.58x = 6,799,777,950.82
  5. Step 5: Solve for x
    x = 6,799,777,950.82/128,711.58
  6. Step 6: Final answer
    x = 52,829.57

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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.