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Finding the Fourth Proportional to 342,569.25, 513,902.88 and 105,930.18

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Solution

The fourth proportional to 342,569.25, 513,902.88 and 105,930.18 is: 158,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,569.25 : 513,902.88 = 105,930.18 : x
  2. Step 2: Convert to fraction form
    342,569.25/513,902.88 = 105,930.18/x
  3. Step 3: Cross multiply
    342,569.25x = 513,902.88 × 105,930.18
  4. Step 4: Simplify right side
    342,569.25x = 54,437,824,580.92
  5. Step 5: Solve for x
    x = 54,437,824,580.92/342,569.25
  6. Step 6: Final answer
    x = 158,910.42

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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.