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Finding the Fourth Proportional to 70,713.12, 106,070.48 and 20,794.20

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Solution

The fourth proportional to 70,713.12, 106,070.48 and 20,794.20 is: 31,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,713.12 : 106,070.48 = 20,794.20 : x
  2. Step 2: Convert to fraction form
    70,713.12/106,070.48 = 20,794.20/x
  3. Step 3: Cross multiply
    70,713.12x = 106,070.48 × 20,794.20
  4. Step 4: Simplify right side
    70,713.12x = 2,205,650,775.22
  5. Step 5: Solve for x
    x = 2,205,650,775.22/70,713.12
  6. Step 6: Final answer
    x = 31,191.54

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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.