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Finding the Fourth Proportional to 102,715.96, 141,735 and 60,259

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Solution

The fourth proportional to 102,715.96, 141,735 and 60,259 is: 83,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,715.96 : 141,735 = 60,259 : x
  2. Step 2: Convert to fraction form
    102,715.96/141,735 = 60,259/x
  3. Step 3: Cross multiply
    102,715.96x = 141,735 × 60,259
  4. Step 4: Simplify right side
    102,715.96x = 8,540,809,365
  5. Step 5: Solve for x
    x = 8,540,809,365/102,715.96
  6. Step 6: Final answer
    x = 83,149.78

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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.