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Finding the Fourth Proportional to 129,033.63, 178,063.79 and 72,445.01

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Solution

The fourth proportional to 129,033.63, 178,063.79 and 72,445.01 is: 99,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,033.63 : 178,063.79 = 72,445.01 : x
  2. Step 2: Convert to fraction form
    129,033.63/178,063.79 = 72,445.01/x
  3. Step 3: Cross multiply
    129,033.63x = 178,063.79 × 72,445.01
  4. Step 4: Simplify right side
    129,033.63x = 12,899,831,794.64
  5. Step 5: Solve for x
    x = 12,899,831,794.64/129,033.63
  6. Step 6: Final answer
    x = 99,972.63

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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.