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Finding the Fourth Proportional to 135,903.80, 203,855.70 and 85,384.10

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Solution

The fourth proportional to 135,903.80, 203,855.70 and 85,384.10 is: 128,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,903.80 : 203,855.70 = 85,384.10 : x
  2. Step 2: Convert to fraction form
    135,903.80/203,855.70 = 85,384.10/x
  3. Step 3: Cross multiply
    135,903.80x = 203,855.70 × 85,384.10
  4. Step 4: Simplify right side
    135,903.80x = 17,406,035,474.37
  5. Step 5: Solve for x
    x = 17,406,035,474.37/135,903.80
  6. Step 6: Final answer
    x = 128,076.15

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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.