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Finding the Fourth Proportional to 75,997.84, 104,876.56 and 42,008.64

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Solution

The fourth proportional to 75,997.84, 104,876.56 and 42,008.64 is: 57,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997.84 : 104,876.56 = 42,008.64 : x
  2. Step 2: Convert to fraction form
    75,997.84/104,876.56 = 42,008.64/x
  3. Step 3: Cross multiply
    75,997.84x = 104,876.56 × 42,008.64
  4. Step 4: Simplify right side
    75,997.84x = 4,405,721,653.48
  5. Step 5: Solve for x
    x = 4,405,721,653.48/75,997.84
  6. Step 6: Final answer
    x = 57,971.67

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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.