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Finding the Fourth Proportional to 203,201.65, 280,407.18 and 112,550.50

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Solution

The fourth proportional to 203,201.65, 280,407.18 and 112,550.50 is: 155,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,201.65 : 280,407.18 = 112,550.50 : x
  2. Step 2: Convert to fraction form
    203,201.65/280,407.18 = 112,550.50/x
  3. Step 3: Cross multiply
    203,201.65x = 280,407.18 × 112,550.50
  4. Step 4: Simplify right side
    203,201.65x = 31,559,968,312.59
  5. Step 5: Solve for x
    x = 31,559,968,312.59/203,201.65
  6. Step 6: Final answer
    x = 155,313.54

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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.