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Finding the Fourth Proportional to 138,082.72, 190,552.33 and 77,653.34

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Solution

The fourth proportional to 138,082.72, 190,552.33 and 77,653.34 is: 107,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.72 : 190,552.33 = 77,653.34 : x
  2. Step 2: Convert to fraction form
    138,082.72/190,552.33 = 77,653.34/x
  3. Step 3: Cross multiply
    138,082.72x = 190,552.33 × 77,653.34
  4. Step 4: Simplify right side
    138,082.72x = 14,797,024,481.02
  5. Step 5: Solve for x
    x = 14,797,024,481.02/138,082.72
  6. Step 6: Final answer
    x = 107,160.58

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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.