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Finding the Fourth Proportional to 71,415.90, 107,080.65 and 31,965.66

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Solution

The fourth proportional to 71,415.90, 107,080.65 and 31,965.66 is: 47,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,415.90 : 107,080.65 = 31,965.66 : x
  2. Step 2: Convert to fraction form
    71,415.90/107,080.65 = 31,965.66/x
  3. Step 3: Cross multiply
    71,415.90x = 107,080.65 × 31,965.66
  4. Step 4: Simplify right side
    71,415.90x = 3,422,903,650.48
  5. Step 5: Solve for x
    x = 3,422,903,650.48/71,415.90
  6. Step 6: Final answer
    x = 47,929.15

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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.