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Finding the Fourth Proportional to 139,895.92, 209,814.44 and 51,191.28

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Solution

The fourth proportional to 139,895.92, 209,814.44 and 51,191.28 is: 76,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,895.92 : 209,814.44 = 51,191.28 : x
  2. Step 2: Convert to fraction form
    139,895.92/209,814.44 = 51,191.28/x
  3. Step 3: Cross multiply
    139,895.92x = 209,814.44 × 51,191.28
  4. Step 4: Simplify right side
    139,895.92x = 10,740,669,746.08
  5. Step 5: Solve for x
    x = 10,740,669,746.08/139,895.92
  6. Step 6: Final answer
    x = 76,776.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.