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Finding the Fourth Proportional to 202,358.43, 279,254.52 and 111,714.30

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Solution

The fourth proportional to 202,358.43, 279,254.52 and 111,714.30 is: 154,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,358.43 : 279,254.52 = 111,714.30 : x
  2. Step 2: Convert to fraction form
    202,358.43/279,254.52 = 111,714.30/x
  3. Step 3: Cross multiply
    202,358.43x = 279,254.52 × 111,714.30
  4. Step 4: Simplify right side
    202,358.43x = 31,196,723,223.64
  5. Step 5: Solve for x
    x = 31,196,723,223.64/202,358.43
  6. Step 6: Final answer
    x = 154,165.67

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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.