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Finding the Fourth Proportional to 149,230.54, 223,838.52 and 55,729

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Solution

The fourth proportional to 149,230.54, 223,838.52 and 55,729 is: 83,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,230.54 : 223,838.52 = 55,729 : x
  2. Step 2: Convert to fraction form
    149,230.54/223,838.52 = 55,729/x
  3. Step 3: Cross multiply
    149,230.54x = 223,838.52 × 55,729
  4. Step 4: Simplify right side
    149,230.54x = 12,474,296,881.08
  5. Step 5: Solve for x
    x = 12,474,296,881.08/149,230.54
  6. Step 6: Final answer
    x = 83,590.78

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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.