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Finding the Fourth Proportional to 102,680.31, 141,698.83 and 57,968.31

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Solution

The fourth proportional to 102,680.31, 141,698.83 and 57,968.31 is: 79,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,680.31 : 141,698.83 = 57,968.31 : x
  2. Step 2: Convert to fraction form
    102,680.31/141,698.83 = 57,968.31/x
  3. Step 3: Cross multiply
    102,680.31x = 141,698.83 × 57,968.31
  4. Step 4: Simplify right side
    102,680.31x = 8,214,041,704.08
  5. Step 5: Solve for x
    x = 8,214,041,704.08/102,680.31
  6. Step 6: Final answer
    x = 79,996.27

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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.