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Finding the Fourth Proportional to 78,986.16, 109,002.84 and 43,177.68

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Solution

The fourth proportional to 78,986.16, 109,002.84 and 43,177.68 is: 59,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,986.16 : 109,002.84 = 43,177.68 : x
  2. Step 2: Convert to fraction form
    78,986.16/109,002.84 = 43,177.68/x
  3. Step 3: Cross multiply
    78,986.16x = 109,002.84 × 43,177.68
  4. Step 4: Simplify right side
    78,986.16x = 4,706,489,744.61
  5. Step 5: Solve for x
    x = 4,706,489,744.61/78,986.16
  6. Step 6: Final answer
    x = 59,586.26

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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.