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Finding the Fourth Proportional to 75,402.65, 113,060.74 and 30,992.78

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Solution

The fourth proportional to 75,402.65, 113,060.74 and 30,992.78 is: 46,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402.65 : 113,060.74 = 30,992.78 : x
  2. Step 2: Convert to fraction form
    75,402.65/113,060.74 = 30,992.78/x
  3. Step 3: Cross multiply
    75,402.65x = 113,060.74 × 30,992.78
  4. Step 4: Simplify right side
    75,402.65x = 3,504,066,641.46
  5. Step 5: Solve for x
    x = 3,504,066,641.46/75,402.65
  6. Step 6: Final answer
    x = 46,471.40

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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.