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Finding the Fourth Proportional to 243,270.35, 335,712.96 and 135,840.32

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Solution

The fourth proportional to 243,270.35, 335,712.96 and 135,840.32 is: 187,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,270.35 : 335,712.96 = 135,840.32 : x
  2. Step 2: Convert to fraction form
    243,270.35/335,712.96 = 135,840.32/x
  3. Step 3: Cross multiply
    243,270.35x = 335,712.96 × 135,840.32
  4. Step 4: Simplify right side
    243,270.35x = 45,603,355,914.55
  5. Step 5: Solve for x
    x = 45,603,355,914.55/243,270.35
  6. Step 6: Final answer
    x = 187,459.57

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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.