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Finding the Fourth Proportional to 145,924.42, 201,375.70 and 78,856.42

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Solution

The fourth proportional to 145,924.42, 201,375.70 and 78,856.42 is: 108,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,924.42 : 201,375.70 = 78,856.42 : x
  2. Step 2: Convert to fraction form
    145,924.42/201,375.70 = 78,856.42/x
  3. Step 3: Cross multiply
    145,924.42x = 201,375.70 × 78,856.42
  4. Step 4: Simplify right side
    145,924.42x = 15,879,766,776.99
  5. Step 5: Solve for x
    x = 15,879,766,776.99/145,924.42
  6. Step 6: Final answer
    x = 108,821.86

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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.