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Finding the Fourth Proportional to 131,971.96, 182,130.96 and 75,382.12

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Solution

The fourth proportional to 131,971.96, 182,130.96 and 75,382.12 is: 104,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,971.96 : 182,130.96 = 75,382.12 : x
  2. Step 2: Convert to fraction form
    131,971.96/182,130.96 = 75,382.12/x
  3. Step 3: Cross multiply
    131,971.96x = 182,130.96 × 75,382.12
  4. Step 4: Simplify right side
    131,971.96x = 13,729,417,882.44
  5. Step 5: Solve for x
    x = 13,729,417,882.44/131,971.96
  6. Step 6: Final answer
    x = 104,032.84

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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.