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Finding the Fourth Proportional to 76,721.40, 105,876.72 and 43,187.40

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Solution

The fourth proportional to 76,721.40, 105,876.72 and 43,187.40 is: 59,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,721.40 : 105,876.72 = 43,187.40 : x
  2. Step 2: Convert to fraction form
    76,721.40/105,876.72 = 43,187.40/x
  3. Step 3: Cross multiply
    76,721.40x = 105,876.72 × 43,187.40
  4. Step 4: Simplify right side
    76,721.40x = 4,572,540,257.33
  5. Step 5: Solve for x
    x = 4,572,540,257.33/76,721.40
  6. Step 6: Final answer
    x = 59,599.28

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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.