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Finding the Fourth Proportional to 103,489.54, 142,827.39 and 57,553.75

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Solution

The fourth proportional to 103,489.54, 142,827.39 and 57,553.75 is: 79,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489.54 : 142,827.39 = 57,553.75 : x
  2. Step 2: Convert to fraction form
    103,489.54/142,827.39 = 57,553.75/x
  3. Step 3: Cross multiply
    103,489.54x = 142,827.39 × 57,553.75
  4. Step 4: Simplify right side
    103,489.54x = 8,220,252,195.66
  5. Step 5: Solve for x
    x = 8,220,252,195.66/103,489.54
  6. Step 6: Final answer
    x = 79,430.76

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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.