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Finding the Fourth Proportional to 128,974, 193,462.24 and 39,017.44

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Solution

The fourth proportional to 128,974, 193,462.24 and 39,017.44 is: 58,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,974 : 193,462.24 = 39,017.44 : x
  2. Step 2: Convert to fraction form
    128,974/193,462.24 = 39,017.44/x
  3. Step 3: Cross multiply
    128,974x = 193,462.24 × 39,017.44
  4. Step 4: Simplify right side
    128,974x = 7,548,401,341.47
  5. Step 5: Solve for x
    x = 7,548,401,341.47/128,974
  6. Step 6: Final answer
    x = 58,526.54

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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.