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Finding the Fourth Proportional to 76,676.59, 105,811.21 and 42,683.96

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Solution

The fourth proportional to 76,676.59, 105,811.21 and 42,683.96 is: 58,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.59 : 105,811.21 = 42,683.96 : x
  2. Step 2: Convert to fraction form
    76,676.59/105,811.21 = 42,683.96/x
  3. Step 3: Cross multiply
    76,676.59x = 105,811.21 × 42,683.96
  4. Step 4: Simplify right side
    76,676.59x = 4,516,441,773.07
  5. Step 5: Solve for x
    x = 4,516,441,773.07/76,676.59
  6. Step 6: Final answer
    x = 58,902.49

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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.