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Finding the Fourth Proportional to 199,698.82, 299,641.56 and 87,364.48

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Solution

The fourth proportional to 199,698.82, 299,641.56 and 87,364.48 is: 131,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,698.82 : 299,641.56 = 87,364.48 : x
  2. Step 2: Convert to fraction form
    199,698.82/299,641.56 = 87,364.48/x
  3. Step 3: Cross multiply
    199,698.82x = 299,641.56 × 87,364.48
  4. Step 4: Simplify right side
    199,698.82x = 26,178,029,075.79
  5. Step 5: Solve for x
    x = 26,178,029,075.79/199,698.82
  6. Step 6: Final answer
    x = 131,087.55

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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.