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Finding the Fourth Proportional to 127,372.32, 175,722.48 and 76,983.84

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Solution

The fourth proportional to 127,372.32, 175,722.48 and 76,983.84 is: 106,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,372.32 : 175,722.48 = 76,983.84 : x
  2. Step 2: Convert to fraction form
    127,372.32/175,722.48 = 76,983.84/x
  3. Step 3: Cross multiply
    127,372.32x = 175,722.48 × 76,983.84
  4. Step 4: Simplify right side
    127,372.32x = 13,527,791,284.72
  5. Step 5: Solve for x
    x = 13,527,791,284.72/127,372.32
  6. Step 6: Final answer
    x = 106,206.68

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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.