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Finding the Fourth Proportional to 129,646.44, 178,880.76 and 73,057.80

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Solution

The fourth proportional to 129,646.44, 178,880.76 and 73,057.80 is: 100,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,646.44 : 178,880.76 = 73,057.80 : x
  2. Step 2: Convert to fraction form
    129,646.44/178,880.76 = 73,057.80/x
  3. Step 3: Cross multiply
    129,646.44x = 178,880.76 × 73,057.80
  4. Step 4: Simplify right side
    129,646.44x = 13,068,634,787.93
  5. Step 5: Solve for x
    x = 13,068,634,787.93/129,646.44
  6. Step 6: Final answer
    x = 100,802.11

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1.5x scale

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.