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Finding the Fourth Proportional to 76,391.56, 105,418.75 and 42,398.07

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Solution

The fourth proportional to 76,391.56, 105,418.75 and 42,398.07 is: 58,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,391.56 : 105,418.75 = 42,398.07 : x
  2. Step 2: Convert to fraction form
    76,391.56/105,418.75 = 42,398.07/x
  3. Step 3: Cross multiply
    76,391.56x = 105,418.75 × 42,398.07
  4. Step 4: Simplify right side
    76,391.56x = 4,469,551,541.81
  5. Step 5: Solve for x
    x = 4,469,551,541.81/76,391.56
  6. Step 6: Final answer
    x = 58,508.45

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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.