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Finding the Fourth Proportional to 139,923.36, 209,752.80 and 55,735.50

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Solution

The fourth proportional to 139,923.36, 209,752.80 and 55,735.50 is: 83,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,923.36 : 209,752.80 = 55,735.50 : x
  2. Step 2: Convert to fraction form
    139,923.36/209,752.80 = 55,735.50/x
  3. Step 3: Cross multiply
    139,923.36x = 209,752.80 × 55,735.50
  4. Step 4: Simplify right side
    139,923.36x = 11,690,677,184.40
  5. Step 5: Solve for x
    x = 11,690,677,184.40/139,923.36
  6. Step 6: Final answer
    x = 83,550.58

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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.