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Finding the Fourth Proportional to 86,109.48, 128,989.26 and 44,469

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Solution

The fourth proportional to 86,109.48, 128,989.26 and 44,469 is: 66,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,109.48 : 128,989.26 = 44,469 : x
  2. Step 2: Convert to fraction form
    86,109.48/128,989.26 = 44,469/x
  3. Step 3: Cross multiply
    86,109.48x = 128,989.26 × 44,469
  4. Step 4: Simplify right side
    86,109.48x = 5,736,023,402.94
  5. Step 5: Solve for x
    x = 5,736,023,402.94/86,109.48
  6. Step 6: Final answer
    x = 66,613.15

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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.