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Finding the Fourth Proportional to 202,158.99, 278,978.85 and 116,123.63

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Solution

The fourth proportional to 202,158.99, 278,978.85 and 116,123.63 is: 160,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,158.99 : 278,978.85 = 116,123.63 : x
  2. Step 2: Convert to fraction form
    202,158.99/278,978.85 = 116,123.63/x
  3. Step 3: Cross multiply
    202,158.99x = 278,978.85 × 116,123.63
  4. Step 4: Simplify right side
    202,158.99x = 32,396,035,360.33
  5. Step 5: Solve for x
    x = 32,396,035,360.33/202,158.99
  6. Step 6: Final answer
    x = 160,250.28

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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.