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Finding the Fourth Proportional to 203,322.49, 280,585.62 and 112,679.91

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Solution

The fourth proportional to 203,322.49, 280,585.62 and 112,679.91 is: 155,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,322.49 : 280,585.62 = 112,679.91 : x
  2. Step 2: Convert to fraction form
    203,322.49/280,585.62 = 112,679.91/x
  3. Step 3: Cross multiply
    203,322.49x = 280,585.62 × 112,679.91
  4. Step 4: Simplify right side
    203,322.49x = 31,616,362,408.89
  5. Step 5: Solve for x
    x = 31,616,362,408.89/203,322.49
  6. Step 6: Final answer
    x = 155,498.60

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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.