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Finding the Fourth Proportional to 76,187.91, 105,140.09 and 45,967.39

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Solution

The fourth proportional to 76,187.91, 105,140.09 and 45,967.39 is: 63,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187.91 : 105,140.09 = 45,967.39 : x
  2. Step 2: Convert to fraction form
    76,187.91/105,140.09 = 45,967.39/x
  3. Step 3: Cross multiply
    76,187.91x = 105,140.09 × 45,967.39
  4. Step 4: Simplify right side
    76,187.91x = 4,833,015,291.83
  5. Step 5: Solve for x
    x = 4,833,015,291.83/76,187.91
  6. Step 6: Final answer
    x = 63,435.46

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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.