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Finding the Fourth Proportional to 102,179.76, 141,006.64 and 57,467.76

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Solution

The fourth proportional to 102,179.76, 141,006.64 and 57,467.76 is: 79,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,179.76 : 141,006.64 = 57,467.76 : x
  2. Step 2: Convert to fraction form
    102,179.76/141,006.64 = 57,467.76/x
  3. Step 3: Cross multiply
    102,179.76x = 141,006.64 × 57,467.76
  4. Step 4: Simplify right side
    102,179.76x = 8,103,335,745.93
  5. Step 5: Solve for x
    x = 8,103,335,745.93/102,179.76
  6. Step 6: Final answer
    x = 79,304.71

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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.