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Finding the Fourth Proportional to 133,616.72, 184,421.42 and 83,306

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Solution

The fourth proportional to 133,616.72, 184,421.42 and 83,306 is: 114,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616.72 : 184,421.42 = 83,306 : x
  2. Step 2: Convert to fraction form
    133,616.72/184,421.42 = 83,306/x
  3. Step 3: Cross multiply
    133,616.72x = 184,421.42 × 83,306
  4. Step 4: Simplify right side
    133,616.72x = 15,363,410,814.52
  5. Step 5: Solve for x
    x = 15,363,410,814.52/133,616.72
  6. Step 6: Final answer
    x = 114,981.20

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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.