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Finding the Fourth Proportional to 102,169.22, 140,992.17 and 57,457.22

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Solution

The fourth proportional to 102,169.22, 140,992.17 and 57,457.22 is: 79,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,169.22 : 140,992.17 = 57,457.22 : x
  2. Step 2: Convert to fraction form
    102,169.22/140,992.17 = 57,457.22/x
  3. Step 3: Cross multiply
    102,169.22x = 140,992.17 × 57,457.22
  4. Step 4: Simplify right side
    102,169.22x = 8,101,018,129.97
  5. Step 5: Solve for x
    x = 8,101,018,129.97/102,169.22
  6. Step 6: Final answer
    x = 79,290.20

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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.