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Finding the Fourth Proportional to 135,615.40, 203,419.90 and 37,119.40

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Solution

The fourth proportional to 135,615.40, 203,419.90 and 37,119.40 is: 55,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,615.40 : 203,419.90 = 37,119.40 : x
  2. Step 2: Convert to fraction form
    135,615.40/203,419.90 = 37,119.40/x
  3. Step 3: Cross multiply
    135,615.40x = 203,419.90 × 37,119.40
  4. Step 4: Simplify right side
    135,615.40x = 7,550,824,636.06
  5. Step 5: Solve for x
    x = 7,550,824,636.06/135,615.40
  6. Step 6: Final answer
    x = 55,678.22

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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.