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Finding the Fourth Proportional to 78,894.16, 108,869.64 and 43,083.60

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Solution

The fourth proportional to 78,894.16, 108,869.64 and 43,083.60 is: 59,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894.16 : 108,869.64 = 43,083.60 : x
  2. Step 2: Convert to fraction form
    78,894.16/108,869.64 = 43,083.60/x
  3. Step 3: Cross multiply
    78,894.16x = 108,869.64 × 43,083.60
  4. Step 4: Simplify right side
    78,894.16x = 4,690,496,021.90
  5. Step 5: Solve for x
    x = 4,690,496,021.90/78,894.16
  6. Step 6: Final answer
    x = 59,453.02

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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.