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Finding the Fourth Proportional to 102,804.08, 141,950.04 and 78,892.88

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Solution

The fourth proportional to 102,804.08, 141,950.04 and 78,892.88 is: 108,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804.08 : 141,950.04 = 78,892.88 : x
  2. Step 2: Convert to fraction form
    102,804.08/141,950.04 = 78,892.88/x
  3. Step 3: Cross multiply
    102,804.08x = 141,950.04 × 78,892.88
  4. Step 4: Simplify right side
    102,804.08x = 11,198,847,471.72
  5. Step 5: Solve for x
    x = 11,198,847,471.72/102,804.08
  6. Step 6: Final answer
    x = 108,933.88

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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.