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Finding the Fourth Proportional to 76,589.50, 105,693.52 and 43,055.50

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Solution

The fourth proportional to 76,589.50, 105,693.52 and 43,055.50 is: 59,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,589.50 : 105,693.52 = 43,055.50 : x
  2. Step 2: Convert to fraction form
    76,589.50/105,693.52 = 43,055.50/x
  3. Step 3: Cross multiply
    76,589.50x = 105,693.52 × 43,055.50
  4. Step 4: Simplify right side
    76,589.50x = 4,550,687,350.36
  5. Step 5: Solve for x
    x = 4,550,687,350.36/76,589.50
  6. Step 6: Final answer
    x = 59,416.60

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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.