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Finding the Fourth Proportional to 129,671.18, 178,963.43 and 78,675.81

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Solution

The fourth proportional to 129,671.18, 178,963.43 and 78,675.81 is: 108,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,671.18 : 178,963.43 = 78,675.81 : x
  2. Step 2: Convert to fraction form
    129,671.18/178,963.43 = 78,675.81/x
  3. Step 3: Cross multiply
    129,671.18x = 178,963.43 × 78,675.81
  4. Step 4: Simplify right side
    129,671.18x = 14,080,091,751.14
  5. Step 5: Solve for x
    x = 14,080,091,751.14/129,671.18
  6. Step 6: Final answer
    x = 108,583.05

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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.