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Finding the Fourth Proportional to 133,513.50, 184,248.81 and 83,212.50

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Solution

The fourth proportional to 133,513.50, 184,248.81 and 83,212.50 is: 114,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,513.50 : 184,248.81 = 83,212.50 : x
  2. Step 2: Convert to fraction form
    133,513.50/184,248.81 = 83,212.50/x
  3. Step 3: Cross multiply
    133,513.50x = 184,248.81 × 83,212.50
  4. Step 4: Simplify right side
    133,513.50x = 15,331,804,102.13
  5. Step 5: Solve for x
    x = 15,331,804,102.13/133,513.50
  6. Step 6: Final answer
    x = 114,833.36

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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.