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Finding the Fourth Proportional to 75,765, 104,537.52 and 48,901.80

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Solution

The fourth proportional to 75,765, 104,537.52 and 48,901.80 is: 67,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,765 : 104,537.52 = 48,901.80 : x
  2. Step 2: Convert to fraction form
    75,765/104,537.52 = 48,901.80/x
  3. Step 3: Cross multiply
    75,765x = 104,537.52 × 48,901.80
  4. Step 4: Simplify right side
    75,765x = 5,112,072,895.54
  5. Step 5: Solve for x
    x = 5,112,072,895.54/75,765
  6. Step 6: Final answer
    x = 67,472.75

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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.