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Finding the Fourth Proportional to 203,423.76, 280,741.32 and 112,808.08

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Solution

The fourth proportional to 203,423.76, 280,741.32 and 112,808.08 is: 155,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,423.76 : 280,741.32 = 112,808.08 : x
  2. Step 2: Convert to fraction form
    203,423.76/280,741.32 = 112,808.08/x
  3. Step 3: Cross multiply
    203,423.76x = 280,741.32 × 112,808.08
  4. Step 4: Simplify right side
    203,423.76x = 31,669,889,285.87
  5. Step 5: Solve for x
    x = 31,669,889,285.87/203,423.76
  6. Step 6: Final answer
    x = 155,684.32

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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.