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Finding the Fourth Proportional to 133,082.63, 183,654.32 and 72,653.28

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Solution

The fourth proportional to 133,082.63, 183,654.32 and 72,653.28 is: 100,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082.63 : 183,654.32 = 72,653.28 : x
  2. Step 2: Convert to fraction form
    133,082.63/183,654.32 = 72,653.28/x
  3. Step 3: Cross multiply
    133,082.63x = 183,654.32 × 72,653.28
  4. Step 4: Simplify right side
    133,082.63x = 13,343,088,370.90
  5. Step 5: Solve for x
    x = 13,343,088,370.90/133,082.63
  6. Step 6: Final answer
    x = 100,261.69

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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.