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Finding the Fourth Proportional to 105,043.86, 144,934.29 and 64,197.54

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Solution

The fourth proportional to 105,043.86, 144,934.29 and 64,197.54 is: 88,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,043.86 : 144,934.29 = 64,197.54 : x
  2. Step 2: Convert to fraction form
    105,043.86/144,934.29 = 64,197.54/x
  3. Step 3: Cross multiply
    105,043.86x = 144,934.29 × 64,197.54
  4. Step 4: Simplify right side
    105,043.86x = 9,304,424,879.65
  5. Step 5: Solve for x
    x = 9,304,424,879.65/105,043.86
  6. Step 6: Final answer
    x = 88,576.57

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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.