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Finding the Fourth Proportional to 75,881.76, 113,729.40 and 53,701.44

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Solution

The fourth proportional to 75,881.76, 113,729.40 and 53,701.44 is: 80,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.76 : 113,729.40 = 53,701.44 : x
  2. Step 2: Convert to fraction form
    75,881.76/113,729.40 = 53,701.44/x
  3. Step 3: Cross multiply
    75,881.76x = 113,729.40 × 53,701.44
  4. Step 4: Simplify right side
    75,881.76x = 6,107,432,550.34
  5. Step 5: Solve for x
    x = 6,107,432,550.34/75,881.76
  6. Step 6: Final answer
    x = 80,486.17

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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.