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Finding the Fourth Proportional to 208,161.90, 312,145.50 and 75,024.62

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Solution

The fourth proportional to 208,161.90, 312,145.50 and 75,024.62 is: 112,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,161.90 : 312,145.50 = 75,024.62 : x
  2. Step 2: Convert to fraction form
    208,161.90/312,145.50 = 75,024.62/x
  3. Step 3: Cross multiply
    208,161.90x = 312,145.50 × 75,024.62
  4. Step 4: Simplify right side
    208,161.90x = 23,418,597,522.21
  5. Step 5: Solve for x
    x = 23,418,597,522.21/208,161.90
  6. Step 6: Final answer
    x = 112,501.84

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1.5x scale

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.