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Finding the Fourth Proportional to 202,915, 280,023.66 and 113,491

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Solution

The fourth proportional to 202,915, 280,023.66 and 113,491 is: 156,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,915 : 280,023.66 = 113,491 : x
  2. Step 2: Convert to fraction form
    202,915/280,023.66 = 113,491/x
  3. Step 3: Cross multiply
    202,915x = 280,023.66 × 113,491
  4. Step 4: Simplify right side
    202,915x = 31,780,165,197.06
  5. Step 5: Solve for x
    x = 31,780,165,197.06/202,915
  6. Step 6: Final answer
    x = 156,618.12

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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.