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Finding the Fourth Proportional to 203,609.40, 280,971.48 and 112,964.40

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Solution

The fourth proportional to 203,609.40, 280,971.48 and 112,964.40 is: 155,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,609.40 : 280,971.48 = 112,964.40 : x
  2. Step 2: Convert to fraction form
    203,609.40/280,971.48 = 112,964.40/x
  3. Step 3: Cross multiply
    203,609.40x = 280,971.48 × 112,964.40
  4. Step 4: Simplify right side
    203,609.40x = 31,739,774,655.31
  5. Step 5: Solve for x
    x = 31,739,774,655.31/203,609.40
  6. Step 6: Final answer
    x = 155,885.61

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1.5x scale

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.