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Finding the Fourth Proportional to 129,713.30, 178,977.06 and 78,752.81

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Solution

The fourth proportional to 129,713.30, 178,977.06 and 78,752.81 is: 108,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,713.30 : 178,977.06 = 78,752.81 : x
  2. Step 2: Convert to fraction form
    129,713.30/178,977.06 = 78,752.81/x
  3. Step 3: Cross multiply
    129,713.30x = 178,977.06 × 78,752.81
  4. Step 4: Simplify right side
    129,713.30x = 14,094,946,400.54
  5. Step 5: Solve for x
    x = 14,094,946,400.54/129,713.30
  6. Step 6: Final answer
    x = 108,662.31

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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.