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Finding the Fourth Proportional to 212,347.05, 318,522.20 and 77,507.78

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Solution

The fourth proportional to 212,347.05, 318,522.20 and 77,507.78 is: 116,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,347.05 : 318,522.20 = 77,507.78 : x
  2. Step 2: Convert to fraction form
    212,347.05/318,522.20 = 77,507.78/x
  3. Step 3: Cross multiply
    212,347.05x = 318,522.20 × 77,507.78
  4. Step 4: Simplify right side
    212,347.05x = 24,687,946,622.57
  5. Step 5: Solve for x
    x = 24,687,946,622.57/212,347.05
  6. Step 6: Final answer
    x = 116,262.25

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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.