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Finding the Fourth Proportional to 102,057.96, 140,842.32 and 56,734.20

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Solution

The fourth proportional to 102,057.96, 140,842.32 and 56,734.20 is: 78,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,057.96 : 140,842.32 = 56,734.20 : x
  2. Step 2: Convert to fraction form
    102,057.96/140,842.32 = 56,734.20/x
  3. Step 3: Cross multiply
    102,057.96x = 140,842.32 × 56,734.20
  4. Step 4: Simplify right side
    102,057.96x = 7,990,576,351.34
  5. Step 5: Solve for x
    x = 7,990,576,351.34/102,057.96
  6. Step 6: Final answer
    x = 78,294.49

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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.