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Finding the Fourth Proportional to 70,871.88, 106,254.37 and 42,785.26

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Solution

The fourth proportional to 70,871.88, 106,254.37 and 42,785.26 is: 64,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,871.88 : 106,254.37 = 42,785.26 : x
  2. Step 2: Convert to fraction form
    70,871.88/106,254.37 = 42,785.26/x
  3. Step 3: Cross multiply
    70,871.88x = 106,254.37 × 42,785.26
  4. Step 4: Simplify right side
    70,871.88x = 4,546,121,352.45
  5. Step 5: Solve for x
    x = 4,546,121,352.45/70,871.88
  6. Step 6: Final answer
    x = 64,145.63

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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.