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Finding the Fourth Proportional to 105,076.92, 145,059.66 and 81,149.88

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Solution

The fourth proportional to 105,076.92, 145,059.66 and 81,149.88 is: 112,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076.92 : 145,059.66 = 81,149.88 : x
  2. Step 2: Convert to fraction form
    105,076.92/145,059.66 = 81,149.88/x
  3. Step 3: Cross multiply
    105,076.92x = 145,059.66 × 81,149.88
  4. Step 4: Simplify right side
    105,076.92x = 11,771,574,001.84
  5. Step 5: Solve for x
    x = 11,771,574,001.84/105,076.92
  6. Step 6: Final answer
    x = 112,028.16

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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.