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Finding the Fourth Proportional to 76,638.72, 105,760.80 and 43,104

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Solution

The fourth proportional to 76,638.72, 105,760.80 and 43,104 is: 59,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638.72 : 105,760.80 = 43,104 : x
  2. Step 2: Convert to fraction form
    76,638.72/105,760.80 = 43,104/x
  3. Step 3: Cross multiply
    76,638.72x = 105,760.80 × 43,104
  4. Step 4: Simplify right side
    76,638.72x = 4,558,713,523.20
  5. Step 5: Solve for x
    x = 4,558,713,523.20/76,638.72
  6. Step 6: Final answer
    x = 59,483.16

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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.