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Finding the Fourth Proportional to 135,558, 187,056.63 and 78,202.53

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Solution

The fourth proportional to 135,558, 187,056.63 and 78,202.53 is: 107,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,558 : 187,056.63 = 78,202.53 : x
  2. Step 2: Convert to fraction form
    135,558/187,056.63 = 78,202.53/x
  3. Step 3: Cross multiply
    135,558x = 187,056.63 × 78,202.53
  4. Step 4: Simplify right side
    135,558x = 14,628,301,719.27
  5. Step 5: Solve for x
    x = 14,628,301,719.27/135,558
  6. Step 6: Final answer
    x = 107,911.76

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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.