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Finding the Fourth Proportional to 78,909.80, 108,896.12 and 43,099.16

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Solution

The fourth proportional to 78,909.80, 108,896.12 and 43,099.16 is: 59,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,909.80 : 108,896.12 = 43,099.16 : x
  2. Step 2: Convert to fraction form
    78,909.80/108,896.12 = 43,099.16/x
  3. Step 3: Cross multiply
    78,909.80x = 108,896.12 × 43,099.16
  4. Step 4: Simplify right side
    78,909.80x = 4,693,331,299.26
  5. Step 5: Solve for x
    x = 4,693,331,299.26/78,909.80
  6. Step 6: Final answer
    x = 59,477.17

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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.