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Finding the Fourth Proportional to 203,458.06, 280,769.22 and 112,814.20

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Solution

The fourth proportional to 203,458.06, 280,769.22 and 112,814.20 is: 155,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,458.06 : 280,769.22 = 112,814.20 : x
  2. Step 2: Convert to fraction form
    203,458.06/280,769.22 = 112,814.20/x
  3. Step 3: Cross multiply
    203,458.06x = 280,769.22 × 112,814.20
  4. Step 4: Simplify right side
    203,458.06x = 31,674,754,938.92
  5. Step 5: Solve for x
    x = 31,674,754,938.92/203,458.06
  6. Step 6: Final answer
    x = 155,681.99

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1.5x scale

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.