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Finding the Fourth Proportional to 75,912, 104,760.18 and 42,378

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Solution

The fourth proportional to 75,912, 104,760.18 and 42,378 is: 58,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,912 : 104,760.18 = 42,378 : x
  2. Step 2: Convert to fraction form
    75,912/104,760.18 = 42,378/x
  3. Step 3: Cross multiply
    75,912x = 104,760.18 × 42,378
  4. Step 4: Simplify right side
    75,912x = 4,439,526,908.04
  5. Step 5: Solve for x
    x = 4,439,526,908.04/75,912
  6. Step 6: Final answer
    x = 58,482.54

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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.