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Finding the Fourth Proportional to 102,201.60, 141,038 and 57,489.60

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Solution

The fourth proportional to 102,201.60, 141,038 and 57,489.60 is: 79,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,201.60 : 141,038 = 57,489.60 : x
  2. Step 2: Convert to fraction form
    102,201.60/141,038 = 57,489.60/x
  3. Step 3: Cross multiply
    102,201.60x = 141,038 × 57,489.60
  4. Step 4: Simplify right side
    102,201.60x = 8,108,218,204.80
  5. Step 5: Solve for x
    x = 8,108,218,204.80/102,201.60
  6. Step 6: Final answer
    x = 79,335.53

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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.