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Finding the Fourth Proportional to 43,859.32, 65,798.70 and 20,473

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Solution

The fourth proportional to 43,859.32, 65,798.70 and 20,473 is: 30,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,859.32 : 65,798.70 = 20,473 : x
  2. Step 2: Convert to fraction form
    43,859.32/65,798.70 = 20,473/x
  3. Step 3: Cross multiply
    43,859.32x = 65,798.70 × 20,473
  4. Step 4: Simplify right side
    43,859.32x = 1,347,096,785.10
  5. Step 5: Solve for x
    x = 1,347,096,785.10/43,859.32
  6. Step 6: Final answer
    x = 30,714.04

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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.