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Finding the Fourth Proportional to 70,130.88, 105,192 and 27,993.60

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Solution

The fourth proportional to 70,130.88, 105,192 and 27,993.60 is: 41,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,130.88 : 105,192 = 27,993.60 : x
  2. Step 2: Convert to fraction form
    70,130.88/105,192 = 27,993.60/x
  3. Step 3: Cross multiply
    70,130.88x = 105,192 × 27,993.60
  4. Step 4: Simplify right side
    70,130.88x = 2,944,702,771.20
  5. Step 5: Solve for x
    x = 2,944,702,771.20/70,130.88
  6. Step 6: Final answer
    x = 41,988.68

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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.