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Finding the Fourth Proportional to 129,407.76, 178,580.70 and 72,819.27

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Solution

The fourth proportional to 129,407.76, 178,580.70 and 72,819.27 is: 100,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,407.76 : 178,580.70 = 72,819.27 : x
  2. Step 2: Convert to fraction form
    129,407.76/178,580.70 = 72,819.27/x
  3. Step 3: Cross multiply
    129,407.76x = 178,580.70 × 72,819.27
  4. Step 4: Simplify right side
    129,407.76x = 13,004,116,210.09
  5. Step 5: Solve for x
    x = 13,004,116,210.09/129,407.76
  6. Step 6: Final answer
    x = 100,489.46

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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.