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Finding the Fourth Proportional to 144,907.68, 199,934.76 and 83,638.86

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Solution

The fourth proportional to 144,907.68, 199,934.76 and 83,638.86 is: 115,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,907.68 : 199,934.76 = 83,638.86 : x
  2. Step 2: Convert to fraction form
    144,907.68/199,934.76 = 83,638.86/x
  3. Step 3: Cross multiply
    144,907.68x = 199,934.76 × 83,638.86
  4. Step 4: Simplify right side
    144,907.68x = 16,722,315,400.77
  5. Step 5: Solve for x
    x = 16,722,315,400.77/144,907.68
  6. Step 6: Final answer
    x = 115,399.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.