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Finding the Fourth Proportional to 202,709.12, 279,714.36 and 112,052.88

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Solution

The fourth proportional to 202,709.12, 279,714.36 and 112,052.88 is: 154,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,709.12 : 279,714.36 = 112,052.88 : x
  2. Step 2: Convert to fraction form
    202,709.12/279,714.36 = 112,052.88/x
  3. Step 3: Cross multiply
    202,709.12x = 279,714.36 × 112,052.88
  4. Step 4: Simplify right side
    202,709.12x = 31,342,799,615.36
  5. Step 5: Solve for x
    x = 31,342,799,615.36/202,709.12
  6. Step 6: Final answer
    x = 154,619.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.