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Finding the Fourth Proportional to 75,618, 104,352.84 and 42,091.92

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Solution

The fourth proportional to 75,618, 104,352.84 and 42,091.92 is: 58,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,618 : 104,352.84 = 42,091.92 : x
  2. Step 2: Convert to fraction form
    75,618/104,352.84 = 42,091.92/x
  3. Step 3: Cross multiply
    75,618x = 104,352.84 × 42,091.92
  4. Step 4: Simplify right side
    75,618x = 4,392,411,393.05
  5. Step 5: Solve for x
    x = 4,392,411,393.05/75,618
  6. Step 6: Final answer
    x = 58,086.85

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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.