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Finding the Fourth Proportional to 133,430.16, 184,070 and 82,424.54

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Solution

The fourth proportional to 133,430.16, 184,070 and 82,424.54 is: 113,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,430.16 : 184,070 = 82,424.54 : x
  2. Step 2: Convert to fraction form
    133,430.16/184,070 = 82,424.54/x
  3. Step 3: Cross multiply
    133,430.16x = 184,070 × 82,424.54
  4. Step 4: Simplify right side
    133,430.16x = 15,171,885,077.80
  5. Step 5: Solve for x
    x = 15,171,885,077.80/133,430.16
  6. Step 6: Final answer
    x = 113,706.56

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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.