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Finding the Fourth Proportional to 78,573.28, 108,430 and 43,245.28

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Solution

The fourth proportional to 78,573.28, 108,430 and 43,245.28 is: 59,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,573.28 : 108,430 = 43,245.28 : x
  2. Step 2: Convert to fraction form
    78,573.28/108,430 = 43,245.28/x
  3. Step 3: Cross multiply
    78,573.28x = 108,430 × 43,245.28
  4. Step 4: Simplify right side
    78,573.28x = 4,689,085,710.40
  5. Step 5: Solve for x
    x = 4,689,085,710.40/78,573.28
  6. Step 6: Final answer
    x = 59,677.87

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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.