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Finding the Fourth Proportional to 83,904.75, 125,911.80 and 42,351.75

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Solution

The fourth proportional to 83,904.75, 125,911.80 and 42,351.75 is: 63,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,904.75 : 125,911.80 = 42,351.75 : x
  2. Step 2: Convert to fraction form
    83,904.75/125,911.80 = 42,351.75/x
  3. Step 3: Cross multiply
    83,904.75x = 125,911.80 × 42,351.75
  4. Step 4: Simplify right side
    83,904.75x = 5,332,585,075.65
  5. Step 5: Solve for x
    x = 5,332,585,075.65/83,904.75
  6. Step 6: Final answer
    x = 63,555.22

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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.