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Finding the Fourth Proportional to 139,451.87, 209,094.63 and 55,224.12

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Solution

The fourth proportional to 139,451.87, 209,094.63 and 55,224.12 is: 82,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,451.87 : 209,094.63 = 55,224.12 : x
  2. Step 2: Convert to fraction form
    139,451.87/209,094.63 = 55,224.12/x
  3. Step 3: Cross multiply
    139,451.87x = 209,094.63 × 55,224.12
  4. Step 4: Simplify right side
    139,451.87x = 11,547,065,893.00
  5. Step 5: Solve for x
    x = 11,547,065,893.00/139,451.87
  6. Step 6: Final answer
    x = 82,803.23

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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.