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Finding the Fourth Proportional to 75,552.72, 104,266.44 and 42,018

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Solution

The fourth proportional to 75,552.72, 104,266.44 and 42,018 is: 57,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,552.72 : 104,266.44 = 42,018 : x
  2. Step 2: Convert to fraction form
    75,552.72/104,266.44 = 42,018/x
  3. Step 3: Cross multiply
    75,552.72x = 104,266.44 × 42,018
  4. Step 4: Simplify right side
    75,552.72x = 4,381,067,275.92
  5. Step 5: Solve for x
    x = 4,381,067,275.92/75,552.72
  6. Step 6: Final answer
    x = 57,986.89

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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.