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Finding the Fourth Proportional to 133,409.46, 184,105 and 72,980.10

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Solution

The fourth proportional to 133,409.46, 184,105 and 72,980.10 is: 100,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409.46 : 184,105 = 72,980.10 : x
  2. Step 2: Convert to fraction form
    133,409.46/184,105 = 72,980.10/x
  3. Step 3: Cross multiply
    133,409.46x = 184,105 × 72,980.10
  4. Step 4: Simplify right side
    133,409.46x = 13,436,001,310.50
  5. Step 5: Solve for x
    x = 13,436,001,310.50/133,409.46
  6. Step 6: Final answer
    x = 100,712.51

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1.5x scale

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.