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Finding the Fourth Proportional to 133,931.94, 200,902.05 and 67,374.78

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Solution

The fourth proportional to 133,931.94, 200,902.05 and 67,374.78 is: 101,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,931.94 : 200,902.05 = 67,374.78 : x
  2. Step 2: Convert to fraction form
    133,931.94/200,902.05 = 67,374.78/x
  3. Step 3: Cross multiply
    133,931.94x = 200,902.05 × 67,374.78
  4. Step 4: Simplify right side
    133,931.94x = 13,535,731,420.30
  5. Step 5: Solve for x
    x = 13,535,731,420.30/133,931.94
  6. Step 6: Final answer
    x = 101,064.25

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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.