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Finding the Fourth Proportional to 78,883.81, 108,864.09 and 43,077.15

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Solution

The fourth proportional to 78,883.81, 108,864.09 and 43,077.15 is: 59,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,883.81 : 108,864.09 = 43,077.15 : x
  2. Step 2: Convert to fraction form
    78,883.81/108,864.09 = 43,077.15/x
  3. Step 3: Cross multiply
    78,883.81x = 108,864.09 × 43,077.15
  4. Step 4: Simplify right side
    78,883.81x = 4,689,554,519.16
  5. Step 5: Solve for x
    x = 4,689,554,519.16/78,883.81
  6. Step 6: Final answer
    x = 59,448.88

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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.