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Finding the Fourth Proportional to 75,877.84, 104,711.32 and 42,343.84

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Solution

The fourth proportional to 75,877.84, 104,711.32 and 42,343.84 is: 58,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.84 : 104,711.32 = 42,343.84 : x
  2. Step 2: Convert to fraction form
    75,877.84/104,711.32 = 42,343.84/x
  3. Step 3: Cross multiply
    75,877.84x = 104,711.32 × 42,343.84
  4. Step 4: Simplify right side
    75,877.84x = 4,433,879,380.27
  5. Step 5: Solve for x
    x = 4,433,879,380.27/75,877.84
  6. Step 6: Final answer
    x = 58,434.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.