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Finding the Fourth Proportional to 102,969.60, 142,087.64 and 57,644.64

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Solution

The fourth proportional to 102,969.60, 142,087.64 and 57,644.64 is: 79,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969.60 : 142,087.64 = 57,644.64 : x
  2. Step 2: Convert to fraction form
    102,969.60/142,087.64 = 57,644.64/x
  3. Step 3: Cross multiply
    102,969.60x = 142,087.64 × 57,644.64
  4. Step 4: Simplify right side
    102,969.60x = 8,190,590,856.25
  5. Step 5: Solve for x
    x = 8,190,590,856.25/102,969.60
  6. Step 6: Final answer
    x = 79,543.78

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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.