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Finding the Fourth Proportional to 75,447.85, 113,061 and 37,956.39

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Solution

The fourth proportional to 75,447.85, 113,061 and 37,956.39 is: 56,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,447.85 : 113,061 = 37,956.39 : x
  2. Step 2: Convert to fraction form
    75,447.85/113,061 = 37,956.39/x
  3. Step 3: Cross multiply
    75,447.85x = 113,061 × 37,956.39
  4. Step 4: Simplify right side
    75,447.85x = 4,291,387,409.79
  5. Step 5: Solve for x
    x = 4,291,387,409.79/75,447.85
  6. Step 6: Final answer
    x = 56,878.86

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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.