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Finding the Fourth Proportional to 102,112.56, 140,914.08 and 57,400.56

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Solution

The fourth proportional to 102,112.56, 140,914.08 and 57,400.56 is: 79,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,112.56 : 140,914.08 = 57,400.56 : x
  2. Step 2: Convert to fraction form
    102,112.56/140,914.08 = 57,400.56/x
  3. Step 3: Cross multiply
    102,112.56x = 140,914.08 × 57,400.56
  4. Step 4: Simplify right side
    102,112.56x = 8,088,547,103.88
  5. Step 5: Solve for x
    x = 8,088,547,103.88/102,112.56
  6. Step 6: Final answer
    x = 79,212.07

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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.