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Finding the Fourth Proportional to 203,502, 280,832.76 and 112,871.84

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Solution

The fourth proportional to 203,502, 280,832.76 and 112,871.84 is: 155,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,502 : 280,832.76 = 112,871.84 : x
  2. Step 2: Convert to fraction form
    203,502/280,832.76 = 112,871.84/x
  3. Step 3: Cross multiply
    203,502x = 280,832.76 × 112,871.84
  4. Step 4: Simplify right side
    203,502x = 31,698,111,055.56
  5. Step 5: Solve for x
    x = 31,698,111,055.56/203,502
  6. Step 6: Final answer
    x = 155,763.14

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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.