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Finding the Fourth Proportional to 70,820.32, 106,247.65 and 20,899.31

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Solution

The fourth proportional to 70,820.32, 106,247.65 and 20,899.31 is: 31,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.32 : 106,247.65 = 20,899.31 : x
  2. Step 2: Convert to fraction form
    70,820.32/106,247.65 = 20,899.31/x
  3. Step 3: Cross multiply
    70,820.32x = 106,247.65 × 20,899.31
  4. Step 4: Simplify right side
    70,820.32x = 2,220,502,735.24
  5. Step 5: Solve for x
    x = 2,220,502,735.24/70,820.32
  6. Step 6: Final answer
    x = 31,354.03

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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.