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Finding the Fourth Proportional to 75,339, 113,010.66 and 19,935

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Solution

The fourth proportional to 75,339, 113,010.66 and 19,935 is: 29,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,339 : 113,010.66 = 19,935 : x
  2. Step 2: Convert to fraction form
    75,339/113,010.66 = 19,935/x
  3. Step 3: Cross multiply
    75,339x = 113,010.66 × 19,935
  4. Step 4: Simplify right side
    75,339x = 2,252,867,507.10
  5. Step 5: Solve for x
    x = 2,252,867,507.10/75,339
  6. Step 6: Final answer
    x = 29,903.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.