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Finding the Fourth Proportional to 149,323.20, 223,898.40 and 55,838.40

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Solution

The fourth proportional to 149,323.20, 223,898.40 and 55,838.40 is: 83,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,323.20 : 223,898.40 = 55,838.40 : x
  2. Step 2: Convert to fraction form
    149,323.20/223,898.40 = 55,838.40/x
  3. Step 3: Cross multiply
    149,323.20x = 223,898.40 × 55,838.40
  4. Step 4: Simplify right side
    149,323.20x = 12,502,128,418.56
  5. Step 5: Solve for x
    x = 12,502,128,418.56/149,323.20
  6. Step 6: Final answer
    x = 83,725.29

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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.