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Finding the Fourth Proportional to 135,769.86, 187,357.50 and 75,343.14

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Solution

The fourth proportional to 135,769.86, 187,357.50 and 75,343.14 is: 103,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,769.86 : 187,357.50 = 75,343.14 : x
  2. Step 2: Convert to fraction form
    135,769.86/187,357.50 = 75,343.14/x
  3. Step 3: Cross multiply
    135,769.86x = 187,357.50 × 75,343.14
  4. Step 4: Simplify right side
    135,769.86x = 14,116,102,352.55
  5. Step 5: Solve for x
    x = 14,116,102,352.55/135,769.86
  6. Step 6: Final answer
    x = 103,970.81

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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.