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Finding the Fourth Proportional to 139,070.94, 191,949.66 and 81,717

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Solution

The fourth proportional to 139,070.94, 191,949.66 and 81,717 is: 112,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,070.94 : 191,949.66 = 81,717 : x
  2. Step 2: Convert to fraction form
    139,070.94/191,949.66 = 81,717/x
  3. Step 3: Cross multiply
    139,070.94x = 191,949.66 × 81,717
  4. Step 4: Simplify right side
    139,070.94x = 15,685,550,366.22
  5. Step 5: Solve for x
    x = 15,685,550,366.22/139,070.94
  6. Step 6: Final answer
    x = 112,788.12

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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.