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Finding the Fourth Proportional to 102,696.28, 141,722.94 and 57,975.64

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Solution

The fourth proportional to 102,696.28, 141,722.94 and 57,975.64 is: 80,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,696.28 : 141,722.94 = 57,975.64 : x
  2. Step 2: Convert to fraction form
    102,696.28/141,722.94 = 57,975.64/x
  3. Step 3: Cross multiply
    102,696.28x = 141,722.94 × 57,975.64
  4. Step 4: Simplify right side
    102,696.28x = 8,216,478,149.18
  5. Step 5: Solve for x
    x = 8,216,478,149.18/102,696.28
  6. Step 6: Final answer
    x = 80,007.55

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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.