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Finding the Fourth Proportional to 70,812.60, 106,218.90 and 31,327.80

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Solution

The fourth proportional to 70,812.60, 106,218.90 and 31,327.80 is: 46,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,812.60 : 106,218.90 = 31,327.80 : x
  2. Step 2: Convert to fraction form
    70,812.60/106,218.90 = 31,327.80/x
  3. Step 3: Cross multiply
    70,812.60x = 106,218.90 × 31,327.80
  4. Step 4: Simplify right side
    70,812.60x = 3,327,604,455.42
  5. Step 5: Solve for x
    x = 3,327,604,455.42/70,812.60
  6. Step 6: Final answer
    x = 46,991.70

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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.