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Finding the Fourth Proportional to 139,006.49, 191,826.87 and 78,575.00

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Solution

The fourth proportional to 139,006.49, 191,826.87 and 78,575.00 is: 108,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,006.49 : 191,826.87 = 78,575.00 : x
  2. Step 2: Convert to fraction form
    139,006.49/191,826.87 = 78,575.00/x
  3. Step 3: Cross multiply
    139,006.49x = 191,826.87 × 78,575.00
  4. Step 4: Simplify right side
    139,006.49x = 15,072,796,217.79
  5. Step 5: Solve for x
    x = 15,072,796,217.79/139,006.49
  6. Step 6: Final answer
    x = 108,432.32

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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.