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Finding the Fourth Proportional to 75,786, 104,584.68 and 42,252

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Solution

The fourth proportional to 75,786, 104,584.68 and 42,252 is: 58,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786 : 104,584.68 = 42,252 : x
  2. Step 2: Convert to fraction form
    75,786/104,584.68 = 42,252/x
  3. Step 3: Cross multiply
    75,786x = 104,584.68 × 42,252
  4. Step 4: Simplify right side
    75,786x = 4,418,911,899.36
  5. Step 5: Solve for x
    x = 4,418,911,899.36/75,786
  6. Step 6: Final answer
    x = 58,307.76

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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.