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Finding the Fourth Proportional to 70,884.88, 106,254.36 and 31,460.56

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Solution

The fourth proportional to 70,884.88, 106,254.36 and 31,460.56 is: 47,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884.88 : 106,254.36 = 31,460.56 : x
  2. Step 2: Convert to fraction form
    70,884.88/106,254.36 = 31,460.56/x
  3. Step 3: Cross multiply
    70,884.88x = 106,254.36 × 31,460.56
  4. Step 4: Simplify right side
    70,884.88x = 3,342,821,668.04
  5. Step 5: Solve for x
    x = 3,342,821,668.04/70,884.88
  6. Step 6: Final answer
    x = 47,158.46

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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.