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Finding the Fourth Proportional to 135,602.14, 203,376.76 and 99,729.87

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Solution

The fourth proportional to 135,602.14, 203,376.76 and 99,729.87 is: 149,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,602.14 : 203,376.76 = 99,729.87 : x
  2. Step 2: Convert to fraction form
    135,602.14/203,376.76 = 99,729.87/x
  3. Step 3: Cross multiply
    135,602.14x = 203,376.76 × 99,729.87
  4. Step 4: Simplify right side
    135,602.14x = 20,282,737,835.82
  5. Step 5: Solve for x
    x = 20,282,737,835.82/135,602.14
  6. Step 6: Final answer
    x = 149,575.35

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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.