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Finding the Fourth Proportional to 76,295.87, 105,284.09 and 42,302.37

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Solution

The fourth proportional to 76,295.87, 105,284.09 and 42,302.37 is: 58,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,295.87 : 105,284.09 = 42,302.37 : x
  2. Step 2: Convert to fraction form
    76,295.87/105,284.09 = 42,302.37/x
  3. Step 3: Cross multiply
    76,295.87x = 105,284.09 × 42,302.37
  4. Step 4: Simplify right side
    76,295.87x = 4,453,766,318.78
  5. Step 5: Solve for x
    x = 4,453,766,318.78/76,295.87
  6. Step 6: Final answer
    x = 58,374.94

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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.