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Finding the Fourth Proportional to 135,848.68, 203,855.92 and 85,859.93

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Solution

The fourth proportional to 135,848.68, 203,855.92 and 85,859.93 is: 128,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,848.68 : 203,855.92 = 85,859.93 : x
  2. Step 2: Convert to fraction form
    135,848.68/203,855.92 = 85,859.93/x
  3. Step 3: Cross multiply
    135,848.68x = 203,855.92 × 85,859.93
  4. Step 4: Simplify right side
    135,848.68x = 17,503,055,316.28
  5. Step 5: Solve for x
    x = 17,503,055,316.28/135,848.68
  6. Step 6: Final answer
    x = 128,842.29

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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.