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Finding the Fourth Proportional to 203,301.84, 280,548.48 and 112,661.64

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Solution

The fourth proportional to 203,301.84, 280,548.48 and 112,661.64 is: 155,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,301.84 : 280,548.48 = 112,661.64 : x
  2. Step 2: Convert to fraction form
    203,301.84/280,548.48 = 112,661.64/x
  3. Step 3: Cross multiply
    203,301.84x = 280,548.48 × 112,661.64
  4. Step 4: Simplify right side
    203,301.84x = 31,607,051,856.31
  5. Step 5: Solve for x
    x = 31,607,051,856.31/203,301.84
  6. Step 6: Final answer
    x = 155,468.60

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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.