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Finding the Fourth Proportional to 102,672.96, 141,684.42 and 57,350.73

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Solution

The fourth proportional to 102,672.96, 141,684.42 and 57,350.73 is: 79,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,672.96 : 141,684.42 = 57,350.73 : x
  2. Step 2: Convert to fraction form
    102,672.96/141,684.42 = 57,350.73/x
  3. Step 3: Cross multiply
    102,672.96x = 141,684.42 × 57,350.73
  4. Step 4: Simplify right side
    102,672.96x = 8,125,704,916.63
  5. Step 5: Solve for x
    x = 8,125,704,916.63/102,672.96
  6. Step 6: Final answer
    x = 79,141.63

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1.5x scale

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.