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Finding the Fourth Proportional to 75,269.36, 112,911.60 and 19,865.36

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Solution

The fourth proportional to 75,269.36, 112,911.60 and 19,865.36 is: 29,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,269.36 : 112,911.60 = 19,865.36 : x
  2. Step 2: Convert to fraction form
    75,269.36/112,911.60 = 19,865.36/x
  3. Step 3: Cross multiply
    75,269.36x = 112,911.60 × 19,865.36
  4. Step 4: Simplify right side
    75,269.36x = 2,243,029,582.18
  5. Step 5: Solve for x
    x = 2,243,029,582.18/75,269.36
  6. Step 6: Final answer
    x = 29,800.04

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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.