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Finding the Fourth Proportional to 75,921.08, 104,771.16 and 42,387.08

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Solution

The fourth proportional to 75,921.08, 104,771.16 and 42,387.08 is: 58,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,921.08 : 104,771.16 = 42,387.08 : x
  2. Step 2: Convert to fraction form
    75,921.08/104,771.16 = 42,387.08/x
  3. Step 3: Cross multiply
    75,921.08x = 104,771.16 × 42,387.08
  4. Step 4: Simplify right side
    75,921.08x = 4,440,943,540.61
  5. Step 5: Solve for x
    x = 4,440,943,540.61/75,921.08
  6. Step 6: Final answer
    x = 58,494.21

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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.