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Finding the Fourth Proportional to 75,262.50, 112,901.31 and 19,858.50

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Solution

The fourth proportional to 75,262.50, 112,901.31 and 19,858.50 is: 29,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,262.50 : 112,901.31 = 19,858.50 : x
  2. Step 2: Convert to fraction form
    75,262.50/112,901.31 = 19,858.50/x
  3. Step 3: Cross multiply
    75,262.50x = 112,901.31 × 19,858.50
  4. Step 4: Simplify right side
    75,262.50x = 2,242,050,664.64
  5. Step 5: Solve for x
    x = 2,242,050,664.64/75,262.50
  6. Step 6: Final answer
    x = 29,789.74

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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.