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Finding the Fourth Proportional to 85,814.92, 128,720.76 and 26,649.28

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Solution

The fourth proportional to 85,814.92, 128,720.76 and 26,649.28 is: 39,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814.92 : 128,720.76 = 26,649.28 : x
  2. Step 2: Convert to fraction form
    85,814.92/128,720.76 = 26,649.28/x
  3. Step 3: Cross multiply
    85,814.92x = 128,720.76 × 26,649.28
  4. Step 4: Simplify right side
    85,814.92x = 3,430,315,575.05
  5. Step 5: Solve for x
    x = 3,430,315,575.05/85,814.92
  6. Step 6: Final answer
    x = 39,973.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.