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Finding the Fourth Proportional to 76,542.72, 105,630.72 and 43,009.28

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Solution

The fourth proportional to 76,542.72, 105,630.72 and 43,009.28 is: 59,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.72 : 105,630.72 = 43,009.28 : x
  2. Step 2: Convert to fraction form
    76,542.72/105,630.72 = 43,009.28/x
  3. Step 3: Cross multiply
    76,542.72x = 105,630.72 × 43,009.28
  4. Step 4: Simplify right side
    76,542.72x = 4,543,101,213.08
  5. Step 5: Solve for x
    x = 4,543,101,213.08/76,542.72
  6. Step 6: Final answer
    x = 59,353.80

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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.