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Finding the Fourth Proportional to 243,419.58, 335,919 and 135,989.64

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Solution

The fourth proportional to 243,419.58, 335,919 and 135,989.64 is: 187,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,419.58 : 335,919 = 135,989.64 : x
  2. Step 2: Convert to fraction form
    243,419.58/335,919 = 135,989.64/x
  3. Step 3: Cross multiply
    243,419.58x = 335,919 × 135,989.64
  4. Step 4: Simplify right side
    243,419.58x = 45,681,503,879.16
  5. Step 5: Solve for x
    x = 45,681,503,879.16/243,419.58
  6. Step 6: Final answer
    x = 187,665.69

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1.5x scale

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.