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Finding the Fourth Proportional to 78,784, 108,815.36 and 53,591.04

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Solution

The fourth proportional to 78,784, 108,815.36 and 53,591.04 is: 74,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,784 : 108,815.36 = 53,591.04 : x
  2. Step 2: Convert to fraction form
    78,784/108,815.36 = 53,591.04/x
  3. Step 3: Cross multiply
    78,784x = 108,815.36 × 53,591.04
  4. Step 4: Simplify right side
    78,784x = 5,831,528,310.37
  5. Step 5: Solve for x
    x = 5,831,528,310.37/78,784
  6. Step 6: Final answer
    x = 74,019.20

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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.