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Finding the Fourth Proportional to 127,871.28, 191,837.16 and 57,750.12

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Solution

The fourth proportional to 127,871.28, 191,837.16 and 57,750.12 is: 86,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,871.28 : 191,837.16 = 57,750.12 : x
  2. Step 2: Convert to fraction form
    127,871.28/191,837.16 = 57,750.12/x
  3. Step 3: Cross multiply
    127,871.28x = 191,837.16 × 57,750.12
  4. Step 4: Simplify right side
    127,871.28x = 11,078,619,010.46
  5. Step 5: Solve for x
    x = 11,078,619,010.46/127,871.28
  6. Step 6: Final answer
    x = 86,638.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.