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Finding the Fourth Proportional to 127,722.45, 176,256.97 and 71,133.82

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Solution

The fourth proportional to 127,722.45, 176,256.97 and 71,133.82 is: 98,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,722.45 : 176,256.97 = 71,133.82 : x
  2. Step 2: Convert to fraction form
    127,722.45/176,256.97 = 71,133.82/x
  3. Step 3: Cross multiply
    127,722.45x = 176,256.97 × 71,133.82
  4. Step 4: Simplify right side
    127,722.45x = 12,537,831,955.13
  5. Step 5: Solve for x
    x = 12,537,831,955.13/127,722.45
  6. Step 6: Final answer
    x = 98,164.67

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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.