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Finding the Fourth Proportional to 76,486.56, 105,550.08 and 42,495.20

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Solution

The fourth proportional to 76,486.56, 105,550.08 and 42,495.20 is: 58,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.56 : 105,550.08 = 42,495.20 : x
  2. Step 2: Convert to fraction form
    76,486.56/105,550.08 = 42,495.20/x
  3. Step 3: Cross multiply
    76,486.56x = 105,550.08 × 42,495.20
  4. Step 4: Simplify right side
    76,486.56x = 4,485,371,759.62
  5. Step 5: Solve for x
    x = 4,485,371,759.62/76,486.56
  6. Step 6: Final answer
    x = 58,642.61

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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.