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Finding the Fourth Proportional to 133,830.70, 184,684.78 and 72,575.93

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Solution

The fourth proportional to 133,830.70, 184,684.78 and 72,575.93 is: 100,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,830.70 : 184,684.78 = 72,575.93 : x
  2. Step 2: Convert to fraction form
    133,830.70/184,684.78 = 72,575.93/x
  3. Step 3: Cross multiply
    133,830.70x = 184,684.78 × 72,575.93
  4. Step 4: Simplify right side
    133,830.70x = 13,403,669,665.35
  5. Step 5: Solve for x
    x = 13,403,669,665.35/133,830.70
  6. Step 6: Final answer
    x = 100,153.92

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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.