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Finding the Fourth Proportional to 102,709.94, 141,779.21 and 91,935.77

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Solution

The fourth proportional to 102,709.94, 141,779.21 and 91,935.77 is: 126,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.94 : 141,779.21 = 91,935.77 : x
  2. Step 2: Convert to fraction form
    102,709.94/141,779.21 = 91,935.77/x
  3. Step 3: Cross multiply
    102,709.94x = 141,779.21 × 91,935.77
  4. Step 4: Simplify right side
    102,709.94x = 13,034,579,672.77
  5. Step 5: Solve for x
    x = 13,034,579,672.77/102,709.94
  6. Step 6: Final answer
    x = 126,906.71

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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.