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Finding the Fourth Proportional to 75,920.46, 104,745.87 and 42,379.98

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Solution

The fourth proportional to 75,920.46, 104,745.87 and 42,379.98 is: 58,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,920.46 : 104,745.87 = 42,379.98 : x
  2. Step 2: Convert to fraction form
    75,920.46/104,745.87 = 42,379.98/x
  3. Step 3: Cross multiply
    75,920.46x = 104,745.87 × 42,379.98
  4. Step 4: Simplify right side
    75,920.46x = 4,439,127,875.68
  5. Step 5: Solve for x
    x = 4,439,127,875.68/75,920.46
  6. Step 6: Final answer
    x = 58,470.77

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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.