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Finding the Fourth Proportional to 342,489.25, 513,673.73 and 105,833.98

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Solution

The fourth proportional to 342,489.25, 513,673.73 and 105,833.98 is: 158,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,489.25 : 513,673.73 = 105,833.98 : x
  2. Step 2: Convert to fraction form
    342,489.25/513,673.73 = 105,833.98/x
  3. Step 3: Cross multiply
    342,489.25x = 513,673.73 × 105,833.98
  4. Step 4: Simplify right side
    342,489.25x = 54,364,132,590.07
  5. Step 5: Solve for x
    x = 54,364,132,590.07/342,489.25
  6. Step 6: Final answer
    x = 158,732.38

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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.