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Finding the Fourth Proportional to 133,213.66, 183,832.68 and 72,783

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Solution

The fourth proportional to 133,213.66, 183,832.68 and 72,783 is: 100,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,213.66 : 183,832.68 = 72,783 : x
  2. Step 2: Convert to fraction form
    133,213.66/183,832.68 = 72,783/x
  3. Step 3: Cross multiply
    133,213.66x = 183,832.68 × 72,783
  4. Step 4: Simplify right side
    133,213.66x = 13,379,893,948.44
  5. Step 5: Solve for x
    x = 13,379,893,948.44/133,213.66
  6. Step 6: Final answer
    x = 100,439.35

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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.