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Finding the Fourth Proportional to 127,356.84, 175,762.80 and 82,128.96

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Solution

The fourth proportional to 127,356.84, 175,762.80 and 82,128.96 is: 113,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,356.84 : 175,762.80 = 82,128.96 : x
  2. Step 2: Convert to fraction form
    127,356.84/175,762.80 = 82,128.96/x
  3. Step 3: Cross multiply
    127,356.84x = 175,762.80 × 82,128.96
  4. Step 4: Simplify right side
    127,356.84x = 14,435,215,970.69
  5. Step 5: Solve for x
    x = 14,435,215,970.69/127,356.84
  6. Step 6: Final answer
    x = 113,344.65

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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.