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Finding the Fourth Proportional to 135,989.68, 203,914.32 and 61,045.48

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Solution

The fourth proportional to 135,989.68, 203,914.32 and 61,045.48 is: 91,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,989.68 : 203,914.32 = 61,045.48 : x
  2. Step 2: Convert to fraction form
    135,989.68/203,914.32 = 61,045.48/x
  3. Step 3: Cross multiply
    135,989.68x = 203,914.32 × 61,045.48
  4. Step 4: Simplify right side
    135,989.68x = 12,448,047,543.27
  5. Step 5: Solve for x
    x = 12,448,047,543.27/135,989.68
  6. Step 6: Final answer
    x = 91,536.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.